42013002024400 has 120 divisors (see below), whose sum is σ = 113088266378784. Its totient is φ = 14864551027200.

The previous prime is 42013002024347. The next prime is 42013002024407. The reversal of 42013002024400 is 442020031024.

It is a happy number.

42013002024400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013002024407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128869762 + ... + 129195361.

Almost surely, 2^{42013002024400} is an apocalyptic number.

42013002024400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42013002024400 is an abundant number, since it is smaller than the sum of its proper divisors (71075264354384).

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

42013002024400 is a wasteful number, since it uses less digits than its factorization.

42013002024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258065189 (or 258065178 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 42013002024400 its reverse (442020031024), we get a palindrome (42455022055424).

The spelling of 42013002024400 in words is "forty-two trillion, thirteen billion, two million, twenty-four thousand, four hundred".