413953755864 has 64 divisors (see below), whose sum is σ = 1130456701440. Its totient is φ = 125274764160.

The previous prime is 413953755857. The next prime is 413953755871. The reversal of 413953755864 is 468557359314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413953755857) and next prime (413953755871).

It is a super-2 number, since 2×413953755864² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413953755798 and 413953755807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835824 + ... + 1235519.

It is an arithmetic number, because the mean of its divisors is an integer number (17663385960).

Almost surely, 2^413953755864 is an apocalyptic number.

413953755864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413953755864 is an abundant number, since it is smaller than the sum of its proper divisors (716502945576).

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

413953755864 is a wasteful number, since it uses less digits than its factorization.

413953755864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072120 (or 2072116 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 60.

The spelling of 413953755864 in words is "four hundred thirteen billion, nine hundred fifty-three million, seven hundred fifty-five thousand, eight hundred sixty-four".