413362059264 has 576 divisors, whose sum is σ = 1566897696000. Its totient is φ = 101709250560.

The previous prime is 413362059263. The next prime is 413362059269. The reversal of 413362059264 is 462950263314.

413362059264 is a `hidden beast` number, since 4 + 1 + 3 + 36 + 20 + 592 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413362059263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26958352 + ... + 26973680.

It is an arithmetic number, because the mean of its divisors is an integer number (2720308500).

Almost surely, 2^413362059264 is an apocalyptic number.

413362059264 is a gapful number since it is divisible by the number (44) 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 413362059264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783448848000).

413362059264 is an abundant number, since it is smaller than the sum of its proper divisors (1153535636736).

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

413362059264 is a wasteful number, since it uses less digits than its factorization.

413362059264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15394 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 413362059264 in words is "four hundred thirteen billion, three hundred sixty-two million, fifty-nine thousand, two hundred sixty-four".