413915371968 has 224 divisors, whose sum is σ = 1264686888960. Its totient is φ = 117030251520.

The previous prime is 413915371949. The next prime is 413915371973. The reversal of 413915371968 is 869173519314.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66725155 + ... + 66731357.

Almost surely, 2^413915371968 is an apocalyptic number.

413915371968 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 413915371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632343444480).

413915371968 is an abundant number, since it is smaller than the sum of its proper divisors (850771516992).

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

413915371968 is a wasteful number, since it uses less digits than its factorization.

413915371968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735 (or 6725 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 57.

The spelling of 413915371968 in words is "four hundred thirteen billion, nine hundred fifteen million, three hundred seventy-one thousand, nine hundred sixty-eight".