413107293888 has 448 divisors, whose sum is σ = 1303466227200. Its totient is φ = 129518548992.

The previous prime is 413107293853. The next prime is 413107293899. The reversal of 413107293888 is 888392701314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433480420 + ... + 433481372.

Almost surely, 2^413107293888 is an apocalyptic number.

413107293888 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 413107293888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651733113600).

413107293888 is an abundant number, since it is smaller than the sum of its proper divisors (890358933312).

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

413107293888 is an equidigital number, since it uses as much as digits as its factorization.

413107293888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 413107293888 in words is "four hundred thirteen billion, one hundred seven million, two hundred ninety-three thousand, eight hundred eighty-eight".