413644239360 has 1920 divisors, whose sum is σ = 1809038499840. Its totient is φ = 85996339200.

The previous prime is 413644239353. The next prime is 413644239373. The reversal of 413644239360 is 63932446314.

413644239360 is a `hidden beast` number, since 4 + 13 + 6 + 44 + 239 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×413644239360² (a number of 24 digits) contains 22 as substring.

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

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, 2537694639 + ... + 2537694801.

It is an arithmetic number, because the mean of its divisors is an integer number (942207552).

Almost surely, 2^413644239360 is an apocalyptic number.

413644239360 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 413644239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904519249920).

413644239360 is an abundant number, since it is smaller than the sum of its proper divisors (1395394260480).

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

413644239360 is a wasteful number, since it uses less digits than its factorization.

413644239360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

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

The spelling of 413644239360 in words is "four hundred thirteen billion, six hundred forty-four million, two hundred thirty-nine thousand, three hundred sixty".