414013201400 has 48 divisors (see below), whose sum is σ = 962624176800. Its totient is φ = 165597799680.

The previous prime is 414013201397. The next prime is 414013201403. The reversal of 414013201400 is 4102310414.

It is an interprime number because it is at equal distance from previous prime (414013201397) and next prime (414013201403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414013201403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7167836 + ... + 7225364.

It is an arithmetic number, because the mean of its divisors is an integer number (20054670350).

Almost surely, 2^414013201400 is an apocalyptic number.

414013201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414013201400 is an abundant number, since it is smaller than the sum of its proper divisors (548610975400).

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

414013201400 is a wasteful number, since it uses less digits than its factorization.

414013201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93528 (or 93519 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 414013201400 its reverse (4102310414), we get a palindrome (418115511814).

The spelling of 414013201400 in words is "four hundred fourteen billion, thirteen million, two hundred one thousand, four hundred".