360400896000 has 360 divisors, whose sum is σ = 1299392161704. Its totient is φ = 96101990400.

The previous prime is 360400895999. The next prime is 360400896007. The reversal of 360400896000 is 698004063.

360400896000 is a `hidden beast` number, since 3 + 6 + 0 + 40 + 0 + 8 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 170459136 + 360230436864 = 13056^2 + 600192^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360400896007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18422224 + ... + 18441776.

Almost surely, 2^360400896000 is an apocalyptic number.

360400896000 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 360400896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649696080852).

360400896000 is an abundant number, since it is smaller than the sum of its proper divisors (938991265704).

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

360400896000 is an equidigital number, since it uses as much as digits as its factorization.

360400896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19602 (or 19563 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 360400896000 in words is "three hundred sixty billion, four hundred million, eight hundred ninety-six thousand".