1157680742400 has 3240 divisors, whose sum is σ = 5690342122920. Its totient is φ = 221962567680.

The previous prime is 1157680742363. The next prime is 1157680742401. The reversal of 1157680742400 is 42470867511.

1157680742400 is a `hidden beast` number, since 1 + 1 + 576 + 8 + 0 + 74 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 337105649664 + 820575092736 = 580608^2 + 905856^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157680742401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 39920025586 + ... + 39920025614.

It is an arithmetic number, because the mean of its divisors is an integer number (1756278433).

Almost surely, 2^{1157680742400} is an apocalyptic number.

1157680742400 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 1157680742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845171061460).

1157680742400 is an abundant number, since it is smaller than the sum of its proper divisors (4532661380520).

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

1157680742400 is a wasteful number, since it uses less digits than its factorization.

1157680742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 1157680742400 in words is "one trillion, one hundred fifty-seven billion, six hundred eighty million, seven hundred forty-two thousand, four hundred".