42115404400 has 60 divisors (see below), whose sum is σ = 101393956800. Its totient is φ = 16810915840.

The previous prime is 42115404371. The next prime is 42115404421. The reversal of 42115404400 is 440451124.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 81696 + ... + 301504.

It is an arithmetic number, because the mean of its divisors is an integer number (1689899280).

Almost surely, 2^42115404400 is an apocalyptic number.

42115404400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42115404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50696978400).

42115404400 is an abundant number, since it is smaller than the sum of its proper divisors (59278552400).

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

42115404400 is a wasteful number, since it uses less digits than its factorization.

42115404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220306 (or 220295 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 42115404400 its reverse (440451124), we get a palindrome (42555855524).

The spelling of 42115404400 in words is "forty-two billion, one hundred fifteen million, four hundred four thousand, four hundred".