360535406400 has 1764 divisors, whose sum is σ = 1511951621760. Its totient is φ = 84428697600.

The previous prime is 360535406381. The next prime is 360535406453. The reversal of 360535406400 is 4604535063.

360535406400 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 3 + 5 + 4 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 6110769571 + ... + 6110769629.

Almost surely, 2^360535406400 is an apocalyptic number.

360535406400 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 360535406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755975810880).

360535406400 is an abundant number, since it is smaller than the sum of its proper divisors (1151416215360).

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

360535406400 is a wasteful number, since it uses less digits than its factorization.

360535406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 360535406400 in words is "three hundred sixty billion, five hundred thirty-five million, four hundred six thousand, four hundred".