360727142400 has 1008 divisors, whose sum is σ = 1379204296704. Its totient is φ = 89924567040.

The previous prime is 360727142389. The next prime is 360727142483. The reversal of 360727142400 is 4241727063.

360727142400 is a `hidden beast` number, since 3 + 607 + 2 + 7 + 1 + 4 + 2 + 40 + 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 71 ways as a sum of consecutive naturals, for example, 2840371137 + ... + 2840371263.

Almost surely, 2^360727142400 is an apocalyptic number.

360727142400 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 360727142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689602148352).

360727142400 is an abundant number, since it is smaller than the sum of its proper divisors (1018477154304).

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

360727142400 is a wasteful number, since it uses less digits than its factorization.

360727142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 360727142400 its reverse (4241727063), we get a palindrome (364968869463).

The spelling of 360727142400 in words is "three hundred sixty billion, seven hundred twenty-seven million, one hundred forty-two thousand, four hundred".