1157023440000 has 1600 divisors, whose sum is σ = 4580501270400. Its totient is φ = 289336320000.

The previous prime is 1157023439981. The next prime is 1157023440043. The reversal of 1157023440000 is 443207511.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 8832239935 + ... + 8832240065.

It is an arithmetic number, because the mean of its divisors is an integer number (2862813294).

Almost surely, 2^{1157023440000} is an apocalyptic number.

1157023440000 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 1157023440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290250635200).

1157023440000 is an abundant number, since it is smaller than the sum of its proper divisors (3423477830400).

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

1157023440000 is an equidigital number, since it uses as much as digits as its factorization.

1157023440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 1157023440000 its reverse (443207511), we get a palindrome (1157466647511).

The spelling of 1157023440000 in words is "one trillion, one hundred fifty-seven billion, twenty-three million, four hundred forty thousand".