42004124400 has 120 divisors (see below), whose sum is σ = 153775129984. Its totient is φ = 9600940800.

The previous prime is 42004124387. The next prime is 42004124419. The reversal of 42004124400 is 442140024.

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

It is a super-2 number, since 2×42004124400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2491846 + ... + 2508645.

Almost surely, 2^42004124400 is an apocalyptic number.

42004124400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42004124400 is an abundant number, since it is smaller than the sum of its proper divisors (111771005584).

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

42004124400 is a wasteful number, since it uses less digits than its factorization.

42004124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000519 (or 5000508 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 42004124400 its reverse (442140024), we get a palindrome (42446264424).

The spelling of 42004124400 in words is "forty-two billion, four million, one hundred twenty-four thousand, four hundred".