1177863949440 has 320 divisors, whose sum is σ = 4208170035960. Its totient is φ = 313962283008.

The previous prime is 1177863949433. The next prime is 1177863949477. The reversal of 1177863949440 is 449493687711.

1177863949440 is a `hidden beast` number, since 1 + 1 + 7 + 78 + 6 + 39 + 494 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1158172001856 + 19691947584 = 1076184^2 + 140328^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199736572 + ... + 199742468.

Almost surely, 2^{1177863949440} is an apocalyptic number.

1177863949440 is a gapful number since it is divisible by the number (10) 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 1177863949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104085017980).

1177863949440 is an abundant number, since it is smaller than the sum of its proper divisors (3030306086520).

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

1177863949440 is an equidigital number, since it uses as much as digits as its factorization.

1177863949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9781 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 1177863949440 in words is "one trillion, one hundred seventy-seven billion, eight hundred sixty-three million, nine hundred forty-nine thousand, four hundred forty".