413326670400 has 2352 divisors, whose sum is σ = 1903571877888. Its totient is φ = 86220288000.

The previous prime is 413326670399. The next prime is 413326670411. The reversal of 413326670400 is 4076623314.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5821502365 + ... + 5821502435.

Almost surely, 2^413326670400 is an apocalyptic number.

413326670400 is a gapful number since it is divisible by the number (40) 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 413326670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951785938944).

413326670400 is an abundant number, since it is smaller than the sum of its proper divisors (1490245207488).

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

413326670400 is a wasteful number, since it uses less digits than its factorization.

413326670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 413326670400 in words is "four hundred thirteen billion, three hundred twenty-six million, six hundred seventy thousand, four hundred".