42001524400 has 60 divisors (see below), whose sum is σ = 110082188664. Its totient is φ = 15273280000.

The previous prime is 42001524361. The next prime is 42001524407. The reversal of 42001524400 is 442510024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (42001524407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4768501 + ... + 4777300.

Almost surely, 2^42001524400 is an apocalyptic number.

42001524400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42001524400 is an abundant number, since it is smaller than the sum of its proper divisors (68080664264).

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

42001524400 is a wasteful number, since it uses less digits than its factorization.

42001524400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9545830 (or 9545819 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The spelling of 42001524400 in words is "forty-two billion, one million, five hundred twenty-four thousand, four hundred".