1157672040 has 384 divisors, whose sum is σ = 4255027200. Its totient is φ = 251005440.

The previous prime is 1157672027. The next prime is 1157672053. The reversal of 1157672040 is 402767511.

1157672040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1157672027) and next prime (1157672053).

It is a junction number, because it is equal to n+sod(n) for n = 1157671992 and 1157672010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16305205 + ... + 16305275.

It is an arithmetic number, because the mean of its divisors is an integer number (11080800).

Almost surely, 2^1157672040 is an apocalyptic number.

1157672040 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 1157672040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127513600).

1157672040 is an abundant number, since it is smaller than the sum of its proper divisors (3097355160).

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

1157672040 is a wasteful number, since it uses less digits than its factorization.

1157672040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 1157672040 is about 34024.5799386267. The cubic root of 1157672040 is about 1050.0142220296.

The spelling of 1157672040 in words is "one billion, one hundred fifty-seven million, six hundred seventy-two thousand, forty".