413957991888 has 240 divisors, whose sum is σ = 1340608838400. Its totient is φ = 116794275840.

The previous prime is 413957991871. The next prime is 413957991917. The reversal of 413957991888 is 888199759314.

It is a happy number.

413957991888 is a `hidden beast` number, since 4 + 1 + 39 + 579 + 9 + 18 + 8 + 8 = 666.

It is a super-2 number, since 2×413957991888² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82442818 + ... + 82447838.

It is an arithmetic number, because the mean of its divisors is an integer number (5585870160).

Almost surely, 2^413957991888 is an apocalyptic number.

413957991888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413957991888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670304419200).

413957991888 is an abundant number, since it is smaller than the sum of its proper divisors (926650846512).

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

413957991888 is a wasteful number, since it uses less digits than its factorization.

413957991888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6041 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 72.

The spelling of 413957991888 in words is "four hundred thirteen billion, nine hundred fifty-seven million, nine hundred ninety-one thousand, eight hundred eighty-eight".