360418401383040 has 4608 divisors, whose sum is σ = 1729833261811200. Its totient is φ = 67263576145920.

The previous prime is 360418401382993. The next prime is 360418401383057. The reversal of 360418401383040 is 40383104814063.

360418401383040 is a `hidden beast` number, since 3 + 60 + 418 + 4 + 0 + 138 + 3 + 0 + 40 = 666.

It is a super-2 number, since 2×360418401383040² (a number of 30 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 575 ways as a sum of consecutive naturals, for example, 378193495204 + ... + 378193496156.

It is an arithmetic number, because the mean of its divisors is an integer number (375397843275).

Almost surely, 2^{360418401383040} is an apocalyptic number.

360418401383040 is a gapful number since it is divisible by the number (30) 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 360418401383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864916630905600).

360418401383040 is an abundant number, since it is smaller than the sum of its proper divisors (1369414860428160).

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

360418401383040 is a wasteful number, since it uses less digits than its factorization.

360418401383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 360418401383040 in words is "three hundred sixty trillion, four hundred eighteen billion, four hundred one million, three hundred eighty-three thousand, forty".