413060034234960 has 960 divisors, whose sum is σ = 1742560767187200. Its totient is φ = 89423899471872.

The previous prime is 413060034234943. The next prime is 413060034234973. The reversal of 413060034234960 is 69432430060314.

413060034234960 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 600 + 3 + 4 + 2 + 34 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9678729142 + ... + 9678771818.

It is an arithmetic number, because the mean of its divisors is an integer number (1815167465820).

Almost surely, 2^{413060034234960} is an apocalyptic number.

413060034234960 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 413060034234960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871280383593600).

413060034234960 is an abundant number, since it is smaller than the sum of its proper divisors (1329500732952240).

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

413060034234960 is a wasteful number, since it uses less digits than its factorization.

413060034234960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47545 (or 47526 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 413060034234960 in words is "four hundred thirteen trillion, sixty billion, thirty-four million, two hundred thirty-four thousand, nine hundred sixty".