414020131400 has 48 divisors (see below), whose sum is σ = 969057256500. Its totient is φ = 164496577280.

The previous prime is 414020131391. The next prime is 414020131411. The reversal of 414020131400 is 4131020414.

It can be written as a sum of positive squares in 6 ways, for example, as 168791148964 + 245228982436 = 410842^2 + 495206^2 .

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

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, 6916847 + ... + 6976446.

Almost surely, 2^414020131400 is an apocalyptic number.

414020131400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414020131400 is an abundant number, since it is smaller than the sum of its proper divisors (555037125100).

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

414020131400 is a wasteful number, since it uses less digits than its factorization.

414020131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13893458 (or 13893449 counting only the distinct ones).

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

Adding to 414020131400 its reverse (4131020414), we get a palindrome (418151151814).

The spelling of 414020131400 in words is "four hundred fourteen billion, twenty million, one hundred thirty-one thousand, four hundred".