413776040400 has 90 divisors (see below), whose sum is σ = 1435917810470. Its totient is φ = 110340276480.

The previous prime is 413776040383. The next prime is 413776040429. The reversal of 413776040400 is 4040677314.

It is a happy number.

413776040400 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 7 + 604 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 33348603456 + 380427436944 = 182616^2 + 616788^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×413776040400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57465295 + ... + 57472494.

Almost surely, 2^413776040400 is an apocalyptic number.

413776040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413776040400 is an abundant number, since it is smaller than the sum of its proper divisors (1022141770070).

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

413776040400 is a wasteful number, since it uses less digits than its factorization.

413776040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114937813 (or 114937799 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 413776040400 in words is "four hundred thirteen billion, seven hundred seventy-six million, forty thousand, four hundred".