42042024224400 has 60 divisors (see below), whose sum is σ = 134674617602672. Its totient is φ = 11211206459520.

The previous prime is 42042024224393. The next prime is 42042024224401. The reversal of 42042024224400 is 442242024024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42042024224401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17517508894 + ... + 17517511293.

Almost surely, 2^{42042024224400} is an apocalyptic number.

42042024224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42042024224400 is an abundant number, since it is smaller than the sum of its proper divisors (92632593378272).

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

42042024224400 is a wasteful number, since it uses less digits than its factorization.

42042024224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35035020208 (or 35035020197 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42042024224400 its reverse (442242024024), we get a palindrome (42484266248424).

The spelling of 42042024224400 in words is "forty-two trillion, forty-two billion, twenty-four million, two hundred twenty-four thousand, four hundred".