413857440000 has 1080 divisors, whose sum is σ = 1572559020032. Its totient is φ = 104509440000.

The previous prime is 413857439999. The next prime is 413857440019. The reversal of 413857440000 is 44758314.

413857440000 is a `hidden beast` number, since 41 + 3 + 8 + 574 + 40 + 0 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 3258719937 + ... + 3258720063.

Almost surely, 2^413857440000 is an apocalyptic number.

413857440000 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 413857440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786279510016).

413857440000 is an abundant number, since it is smaller than the sum of its proper divisors (1158701580032).

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

413857440000 is a wasteful number, since it uses less digits than its factorization.

413857440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 413857440000 in words is "four hundred thirteen billion, eight hundred fifty-seven million, four hundred forty thousand".