42924027928320 has 3456 divisors, whose sum is σ = 207351188029440. Its totient is φ = 8234229104640.

The previous prime is 42924027928289. The next prime is 42924027928339. The reversal of 42924027928320 is 2382972042924.

42924027928320 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 40 + 279 + 2 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15974702017 + ... + 15974704703.

It is an arithmetic number, because the mean of its divisors is an integer number (59997450240).

Almost surely, 2^{42924027928320} is an apocalyptic number.

42924027928320 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 42924027928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103675594014720).

42924027928320 is an abundant number, since it is smaller than the sum of its proper divisors (164427160101120).

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

42924027928320 is a wasteful number, since it uses less digits than its factorization.

42924027928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 42924027928320 in words is "forty-two trillion, nine hundred twenty-four billion, twenty-seven million, nine hundred twenty-eight thousand, three hundred twenty".