42892676400 has 240 divisors, whose sum is σ = 159373839104. Its totient is φ = 9657584640.

The previous prime is 42892676383. The next prime is 42892676479. The reversal of 42892676400 is 467629824.

42892676400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42892676400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524694 + ... + 600906.

Almost surely, 2^42892676400 is an apocalyptic number.

42892676400 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 42892676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79686919552).

42892676400 is an abundant number, since it is smaller than the sum of its proper divisors (116481162704).

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

42892676400 is a wasteful number, since it uses less digits than its factorization.

42892676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76308 (or 76297 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 42892676400 in words is "forty-two billion, eight hundred ninety-two million, six hundred seventy-six thousand, four hundred".