1157255040 has 128 divisors (see below), whose sum is σ = 3883017600. Its totient is φ = 292349952.

The previous prime is 1157255023. The next prime is 1157255041. The reversal of 1157255040 is 405527511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1157254989 and 1157255007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157255041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20619 + ... + 52341.

It is an arithmetic number, because the mean of its divisors is an integer number (30336075).

Almost surely, 2^1157255040 is an apocalyptic number.

1157255040 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 1157255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941508800).

1157255040 is an abundant number, since it is smaller than the sum of its proper divisors (2725762560).

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

1157255040 is a wasteful number, since it uses less digits than its factorization.

1157255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31764 (or 31752 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 1157255040 is about 34018.4514638747. The cubic root of 1157255040 is about 1049.8881332069. Note that the first 3 decimals are identical.

The spelling of 1157255040 in words is "one billion, one hundred fifty-seven million, two hundred fifty-five thousand, forty".