413330037120 has 2880 divisors, whose sum is σ = 2074710783600. Its totient is φ = 75107450880.

The previous prime is 413330037023. The next prime is 413330037151. The reversal of 413330037120 is 21730033314.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 21754212471 + ... + 21754212489.

Almost surely, 2^413330037120 is an apocalyptic number.

413330037120 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 413330037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037355391800).

413330037120 is an abundant number, since it is smaller than the sum of its proper divisors (1661380746480).

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

413330037120 is a wasteful number, since it uses less digits than its factorization.

413330037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 413330037120 in words is "four hundred thirteen billion, three hundred thirty million, thirty-seven thousand, one hundred twenty".