1157743030400 has 384 divisors, whose sum is σ = 3314669454720. Its totient is φ = 394895360000.

The previous prime is 1157743030399. The next prime is 1157743030421. The reversal of 1157743030400 is 40303477511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186099290 + ... + 186105510.

It is an arithmetic number, because the mean of its divisors is an integer number (8631951705).

Almost surely, 2^{1157743030400} is an apocalyptic number.

1157743030400 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 1157743030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657334727360).

1157743030400 is an abundant number, since it is smaller than the sum of its proper divisors (2156926424320).

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

1157743030400 is a wasteful number, since it uses less digits than its factorization.

1157743030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6567 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 1157743030400 in words is "one trillion, one hundred fifty-seven billion, seven hundred forty-three million, thirty thousand, four hundred".