42912656424960 has 512 divisors, whose sum is σ = 158172642017280. Its totient is φ = 9731274964992.

The previous prime is 42912656424907. The next prime is 42912656424977. The reversal of 42912656424960 is 6942465621924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×42912656424960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 42912656424894 and 42912656424903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436912177 + ... + 437010383.

It is an arithmetic number, because the mean of its divisors is an integer number (308930941440).

Almost surely, 2^{42912656424960} is an apocalyptic number.

42912656424960 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 42912656424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79086321008640).

42912656424960 is an abundant number, since it is smaller than the sum of its proper divisors (115259985592320).

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

42912656424960 is an equidigital number, since it uses as much as digits as its factorization.

42912656424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98379 (or 98351 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 60.

The spelling of 42912656424960 in words is "forty-two trillion, nine hundred twelve billion, six hundred fifty-six million, four hundred twenty-four thousand, nine hundred sixty".