11745150157440 has 384 divisors, whose sum is σ = 48790946505600. Its totient is φ = 2543310544896.

The previous prime is 11745150157397. The next prime is 11745150157457. The reversal of 11745150157440 is 4475105154711.

11745150157440 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 5 + 1 + 50 + 157 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6899667 + ... + 8431826.

It is an arithmetic number, because the mean of its divisors is an integer number (127059756525).

Almost surely, 2^{11745150157440} is an apocalyptic number.

11745150157440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11745150157440 is an abundant number, since it is smaller than the sum of its proper divisors (37045796348160).

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

11745150157440 is a wasteful number, since it uses less digits than its factorization.

11745150157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15331544 (or 15331529 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 11745150157440 in words is "eleven trillion, seven hundred forty-five billion, one hundred fifty million, one hundred fifty-seven thousand, four hundred forty".