42020040400 has 60 divisors (see below), whose sum is σ = 108718787212. Its totient is φ = 15515089920.

The previous prime is 42020040397. The next prime is 42020040427. The reversal of 42020040400 is 404002024.

42020040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10509530256 + 31510510144 = 102516^2 + 177512^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4035189 + ... + 4045588.

Almost surely, 2^42020040400 is an apocalyptic number.

42020040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42020040400 is an abundant number, since it is smaller than the sum of its proper divisors (66698746812).

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

42020040400 is a wasteful number, since it uses less digits than its factorization.

42020040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080808 (or 8080797 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 42020040400 its reverse (404002024), we get a palindrome (42424042424).

The spelling of 42020040400 in words is "forty-two billion, twenty million, forty thousand, four hundred".