1157567040 has 336 divisors, whose sum is σ = 4623645312. Its totient is φ = 260333568.

The previous prime is 1157567017. The next prime is 1157567051. The reversal of 1157567040 is 407657511.

1157567040 is a `hidden beast` number, since 1 + 1 + 57 + 567 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1157567040² = 2679922904188723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1157566986 and 1157567004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1350292 + ... + 1351148.

Almost surely, 2^1157567040 is an apocalyptic number.

1157567040 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 1157567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311822656).

1157567040 is an abundant number, since it is smaller than the sum of its proper divisors (3466078272).

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

1157567040 is a wasteful number, since it uses less digits than its factorization.

1157567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1157567040 is about 34023.0369014878. The cubic root of 1157567040 is about 1049.9824758980.

The spelling of 1157567040 in words is "one billion, one hundred fifty-seven million, five hundred sixty-seven thousand, forty".