42501260400 has 120 divisors (see below), whose sum is σ = 140537624064. Its totient is φ = 10968057600.

The previous prime is 42501260393. The next prime is 42501260423. The reversal of 42501260400 is 406210524.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534054 + ... + 608453.

Almost surely, 2^42501260400 is an apocalyptic number.

42501260400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42501260400 is an abundant number, since it is smaller than the sum of its proper divisors (98036363664).

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

42501260400 is a wasteful number, since it uses less digits than its factorization.

42501260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142559 (or 1142548 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 42501260400 its reverse (406210524), we get a palindrome (42907470924).

The spelling of 42501260400 in words is "forty-two billion, five hundred one million, two hundred sixty thousand, four hundred".