1157303946240 has 2464 divisors, whose sum is σ = 5033762568576. Its totient is φ = 252255928320.

The previous prime is 1157303946233. The next prime is 1157303946277. The reversal of 1157303946240 is 426493037511.

1157303946240 is a `hidden beast` number, since 1 + 1 + 573 + 0 + 39 + 4 + 6 + 2 + 40 = 666.

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 223 ways as a sum of consecutive naturals, for example, 18972195810 + ... + 18972195870.

Almost surely, 2^{1157303946240} is an apocalyptic number.

1157303946240 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 1157303946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516881284288).

1157303946240 is an abundant number, since it is smaller than the sum of its proper divisors (3876458622336).

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

1157303946240 is a wasteful number, since it uses less digits than its factorization.

1157303946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1157303946240 in words is "one trillion, one hundred fifty-seven billion, three hundred three million, nine hundred forty-six thousand, two hundred forty".