1157126400 has 162 divisors, whose sum is σ = 4137193970. Its totient is φ = 308551680.

The previous prime is 1157126357. The next prime is 1157126407. The reversal of 1157126400 is 46217511.

It is a happy number.

1157126400 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 12 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2214144 + 1154912256 = 1488^2 + 33984^2 .

It is not an unprimeable number, because it can be changed into a prime (1157126407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47556 + ... + 67644.

Almost surely, 2^1157126400 is an apocalyptic number.

1157126400 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 1157126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068596985).

1157126400 is an abundant number, since it is smaller than the sum of its proper divisors (2980067570).

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

1157126400 is a wasteful number, since it uses less digits than its factorization.

1157126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20121 (or 20099 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1157126400 is about 34016.5606727076. The cubic root of 1157126400 is about 1049.8492300526.

The spelling of 1157126400 in words is "one billion, one hundred fifty-seven million, one hundred twenty-six thousand, four hundred".