415121402400 has 72 divisors (see below), whose sum is σ = 1351220172624. Its totient is φ = 110699040000.

The previous prime is 415121402387. The next prime is 415121402441. The reversal of 415121402400 is 4204121514.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 86481226 + ... + 86486025.

It is an arithmetic number, because the mean of its divisors is an integer number (18766946842).

Almost surely, 2^415121402400 is an apocalyptic number.

415121402400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415121402400 is an abundant number, since it is smaller than the sum of its proper divisors (936098770224).

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

415121402400 is a wasteful number, since it uses less digits than its factorization.

415121402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172967274 (or 172967261 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 415121402400 its reverse (4204121514), we get a palindrome (419325523914).

The spelling of 415121402400 in words is "four hundred fifteen billion, one hundred twenty-one million, four hundred two thousand, four hundred".