42501324400 has 30 divisors (see below), whose sum is σ = 102109432832. Its totient is φ = 17000529600.

The previous prime is 42501324389. The next prime is 42501324431. The reversal of 42501324400 is 442310524.

It is a happy number.

It is a super-3 number, since 3×42501324400³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 53126256 + ... + 53127055.

Almost surely, 2^42501324400 is an apocalyptic number.

42501324400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42501324400 is an abundant number, since it is smaller than the sum of its proper divisors (59608108432).

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

42501324400 is a wasteful number, since it uses less digits than its factorization.

42501324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106253329 (or 106253318 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 42501324400 its reverse (442310524), we get a palindrome (42943634924).

The spelling of 42501324400 in words is "forty-two billion, five hundred one million, three hundred twenty-four thousand, four hundred".