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421403028480 = 210325717313767
BaseRepresentation
bin1100010000111011001…
…00111110110000000000
31111021201022010212111100
412020131210332300000
523401013133402410
6521331225214400
742305521432650
oct6103544766000
91437638125440
10421403028480
11152797029495
1269807031400
13309798b5035
1416578948360
15ae659068c0
hex621d93ec00

421403028480 has 2112 divisors, whose sum is σ = 1901154557952. Its totient is φ = 84085309440.

The previous prime is 421403028457. The next prime is 421403028491. The reversal of 421403028480 is 84820304124.

421403028480 is a `hidden beast` number, since 4 + 2 + 140 + 30 + 2 + 8 + 480 = 666.

It is a super-2 number, since 2×4214030284802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6289597407 + ... + 6289597473.

Almost surely, 2421403028480 is an apocalyptic number.

421403028480 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 421403028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950577278976).

421403028480 is an abundant number, since it is smaller than the sum of its proper divisors (1479751529472).

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

421403028480 is a wasteful number, since it uses less digits than its factorization.

421403028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 421403028480 in words is "four hundred twenty-one billion, four hundred three million, twenty-eight thousand, four hundred eighty".