642504040400 has 120 divisors (see below), whose sum is σ = 1548794650560. Its totient is φ = 256141025280.

The previous prime is 642504040391. The next prime is 642504040421. The reversal of 642504040400 is 4040405246.

It is a happy number.

642504040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×642504040400² (a number of 24 digits) contains 22 as substring.

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, 170559317 + ... + 170563083.

It is an arithmetic number, because the mean of its divisors is an integer number (12906622088).

Almost surely, 2^642504040400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642504040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774397325280).

642504040400 is an abundant number, since it is smaller than the sum of its proper divisors (906290610160).

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

642504040400 is a wasteful number, since it uses less digits than its factorization.

642504040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 642504040400 its reverse (4040405246), we get a palindrome (646544445646).

The spelling of 642504040400 in words is "six hundred forty-two billion, five hundred four million, forty thousand, four hundred".