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4405425555960 = 23335111322194243
BaseRepresentation
bin100000000011011011111…
…0100110100100111111000
3120121011011200101212112000
41000012313310310213320
51034134302420242320
613211454034421000
7633165360242412
oct100066764644770
916534150355460
104405425555960
11144936a971510
125b1974131760
1325c5784b4200
1411331bcdb9b2
15798ddd6ac90
hex401b7d349f8

4405425555960 has 384 divisors, whose sum is σ = 17346815366400. Its totient is φ = 985829045760.

The previous prime is 4405425555953. The next prime is 4405425555961. The reversal of 4405425555960 is 695555245044.

4405425555960 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 4 + 25 + 5 + 559 + 60 = 666.

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 = 4405425555897 and 4405425555906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405425555961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 910599 + ... + 3104841.

It is an arithmetic number, because the mean of its divisors is an integer number (45173998350).

Almost surely, 24405425555960 is an apocalyptic number.

4405425555960 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 4405425555960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673407683200).

4405425555960 is an abundant number, since it is smaller than the sum of its proper divisors (12941389810440).

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

4405425555960 is a wasteful number, since it uses less digits than its factorization.

4405425555960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194300 (or 2194277 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 54.

The spelling of 4405425555960 in words is "four trillion, four hundred five billion, four hundred twenty-five million, five hundred fifty-five thousand, nine hundred sixty".