1178641364400 has 90 divisors (see below), whose sum is σ = 4090212947340. Its totient is φ = 314304362880.

The previous prime is 1178641364357. The next prime is 1178641364413. The reversal of 1178641364400 is 44631468711.

1178641364400 is a `hidden beast` number, since 1 + 1 + 78 + 6 + 4 + 136 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 163696590 + ... + 163703789.

It is an arithmetic number, because the mean of its divisors is an integer number (45446810526).

Almost surely, 2^{1178641364400} is an apocalyptic number.

1178641364400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1178641364400 is an abundant number, since it is smaller than the sum of its proper divisors (2911571582940).

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

1178641364400 is a wasteful number, since it uses less digits than its factorization.

1178641364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327400403 (or 327400389 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1178641364400 in words is "one trillion, one hundred seventy-eight billion, six hundred forty-one million, three hundred sixty-four thousand, four hundred".