42892416000 has 1056 divisors, whose sum is σ = 184119167232. Its totient is φ = 9754214400.

The previous prime is 42892415999. The next prime is 42892416023. The reversal of 42892416000 is 61429824.

42892416000 = 331³ + 332³ + ... + 654³.

42892416000 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 2 + 41 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217727902 + ... + 217728098.

It is an arithmetic number, because the mean of its divisors is an integer number (174355272).

Almost surely, 2^42892416000 is an apocalyptic number.

42892416000 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 42892416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92059583616).

42892416000 is an abundant number, since it is smaller than the sum of its proper divisors (141226751232).

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

42892416000 is an equidigital number, since it uses as much as digits as its factorization.

42892416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 42892416000 in words is "forty-two billion, eight hundred ninety-two million, four hundred sixteen thousand".