413773234560 has 384 divisors, whose sum is σ = 1635688042560. Its totient is φ = 94416814080.

The previous prime is 413773234531. The next prime is 413773234571. The reversal of 413773234560 is 65432377314.

413773234560 is a `hidden beast` number, since 4 + 13 + 7 + 73 + 2 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 24707790 + ... + 24724530.

Almost surely, 2^413773234560 is an apocalyptic number.

413773234560 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 413773234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817844021280).

413773234560 is an abundant number, since it is smaller than the sum of its proper divisors (1221914808000).

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

413773234560 is a wasteful number, since it uses less digits than its factorization.

413773234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17386 (or 17371 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 413773234560 in words is "four hundred thirteen billion, seven hundred seventy-three million, two hundred thirty-four thousand, five hundred sixty".