1180438790400 has 567 divisors, whose sum is σ = 4389378080269. Its totient is φ = 314157864960.

The previous prime is 1180438790393. The next prime is 1180438790411. The reversal of 1180438790400 is 40978340811.

It is a happy number.

The square root of 1180438790400 is 1086480.

It is a perfect power (a square), and thus also a powerful number.

1180438790400 is a `hidden beast` number, since 1 + 1 + 80 + 4 + 3 + 87 + 90 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 424957964544 + 755480825856 = 651888^2 + 869184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2346796549 + ... + 2346797051.

Almost surely, 2^{1180438790400} is an apocalyptic number.

1180438790400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1180438790400 is the 1086480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1180438790400

1180438790400 is an abundant number, since it is smaller than the sum of its proper divisors (3208939289869).

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

1180438790400 is an frugal number, since it uses more digits than its factorization.

1180438790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1180438790400 in words is "one trillion, one hundred eighty billion, four hundred thirty-eight million, seven hundred ninety thousand, four hundred".