413381940000 has 240 divisors, whose sum is σ = 1361427328800. Its totient is φ = 109792000000.

The previous prime is 413381939977. The next prime is 413381940029. The reversal of 413381940000 is 49183314.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15046276 + ... + 15073724.

It is an arithmetic number, because the mean of its divisors is an integer number (5672613870).

Almost surely, 2^413381940000 is an apocalyptic number.

413381940000 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 413381940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680713664400).

413381940000 is an abundant number, since it is smaller than the sum of its proper divisors (948045388800).

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

413381940000 is a wasteful number, since it uses less digits than its factorization.

413381940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27733 (or 27710 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 413381940000 in words is "four hundred thirteen billion, three hundred eighty-one million, nine hundred forty thousand".