413133902737920 has 4480 divisors, whose sum is σ = 1908649318625280. Its totient is φ = 83382050488320.

The previous prime is 413133902737903. The next prime is 413133902737921. The reversal of 413133902737920 is 29737209331314.

413133902737920 is a `hidden beast` number, since 4 + 1 + 31 + 339 + 0 + 273 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (413133902737921) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 510672314476 + ... + 510672315284.

It is an arithmetic number, because the mean of its divisors is an integer number (426037794336).

Almost surely, 2^{413133902737920} is an apocalyptic number.

413133902737920 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 413133902737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954324659312640).

413133902737920 is an abundant number, since it is smaller than the sum of its proper divisors (1495515415887360).

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

413133902737920 is an equidigital number, since it uses as much as digits as its factorization.

413133902737920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 413133902737920 in words is "four hundred thirteen trillion, one hundred thirty-three billion, nine hundred two million, seven hundred thirty-seven thousand, nine hundred twenty".