42562516400 has 120 divisors (see below), whose sum is σ = 106113589248. Its totient is φ = 16388640000.

The previous prime is 42562516387. The next prime is 42562516427. The reversal of 42562516400 is 461526524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2359415 + ... + 2377385.

Almost surely, 2^42562516400 is an apocalyptic number.

42562516400 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 42562516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53056794624).

42562516400 is an abundant number, since it is smaller than the sum of its proper divisors (63551072848).

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

42562516400 is a wasteful number, since it uses less digits than its factorization.

42562516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18211 (or 18200 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 42562516400 in words is "forty-two billion, five hundred sixty-two million, five hundred sixteen thousand, four hundred".