414012001400 has 48 divisors (see below), whose sum is σ = 1004429127600. Its totient is φ = 158404590080.

The previous prime is 414012001391. The next prime is 414012001471. The reversal of 414012001400 is 4100210414.

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, 44996705 + ... + 45005904.

It is an arithmetic number, because the mean of its divisors is an integer number (20925606825).

Almost surely, 2^414012001400 is an apocalyptic number.

414012001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414012001400 is an abundant number, since it is smaller than the sum of its proper divisors (590417126200).

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

414012001400 is a wasteful number, since it uses less digits than its factorization.

414012001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90002648 (or 90002639 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 414012001400 its reverse (4100210414), we get a palindrome (418112211814).

The spelling of 414012001400 in words is "four hundred fourteen billion, twelve million, one thousand, four hundred".