360040391424 has 360 divisors, whose sum is σ = 1236667486208. Its totient is φ = 102053468160.

The previous prime is 360040391423. The next prime is 360040391429. The reversal of 360040391424 is 424193040063.

It is a happy number.

360040391424 is a `hidden beast` number, since 3 + 600 + 4 + 0 + 3 + 9 + 1 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (360040391423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18424539 + ... + 18444069.

Almost surely, 2^360040391424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360040391424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618333743104).

360040391424 is an abundant number, since it is smaller than the sum of its proper divisors (876627094784).

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

360040391424 is a wasteful number, since it uses less digits than its factorization.

360040391424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19693 (or 19670 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 360040391424 in words is "three hundred sixty billion, forty million, three hundred ninety-one thousand, four hundred twenty-four".