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4840428490560 = 263351317191011321
BaseRepresentation
bin100011001110000000000…
…0001010100111101000000
3122010201222210011112222000
41012130000001110331000
51113301144143144220
614143355005144000
71006465221211425
oct106340001247500
918121883145860
104840428490560
1115a68a5769733
1266213585b000
132915b1832b70
1412a3c6b31d4c
1585d9d6c4390
hex46700054f40

4840428490560 has 1792 divisors, whose sum is σ = 20714627404800. Its totient is φ = 1051066368000.

The previous prime is 4840428490553. The next prime is 4840428490607. The reversal of 4840428490560 is 650948240484.

It is a happy number.

4840428490560 is a `hidden beast` number, since 4 + 84 + 0 + 4 + 28 + 490 + 56 + 0 = 666.

It is a super-2 number, since 2×48404284905602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4840428490497 and 4840428490506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3664214700 + ... + 3664216020.

It is an arithmetic number, because the mean of its divisors is an integer number (11559501900).

Almost surely, 24840428490560 is an apocalyptic number.

4840428490560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4840428490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10357313702400).

4840428490560 is an abundant number, since it is smaller than the sum of its proper divisors (15874198914240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4840428490560 is a wasteful number, since it uses less digits than its factorization.

4840428490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 4840428490560 in words is "four trillion, eight hundred forty billion, four hundred twenty-eight million, four hundred ninety thousand, five hundred sixty".