40157760 has 112 divisors (see below), whose sum is σ = 129844800. Its totient is φ = 10512384.

The previous prime is 40157759. The next prime is 40157861. The reversal of 40157760 is 6775104.

It is a happy number.

It is a super-2 number, since 2×40157760² = 3225291376435200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56286 + ... + 56994.

Almost surely, 2^40157760 is an apocalyptic number.

40157760 is a gapful number since it is divisible by the number (40) 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 40157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64922400).

40157760 is an abundant number, since it is smaller than the sum of its proper divisors (89687040).

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

40157760 is a wasteful number, since it uses less digits than its factorization.

40157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 40157760 is about 6337.0150702046. The cubic root of 40157760 is about 342.4442092158. Note that the first 3 decimals are identical.

The spelling of 40157760 in words is "forty million, one hundred fifty-seven thousand, seven hundred sixty".