40157680 has 20 divisors (see below), whose sum is σ = 93366792. Its totient is φ = 16063040.

The previous prime is 40157653. The next prime is 40157681. The reversal of 40157680 is 8675104.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×40157680² = 3225278525964800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40157681) 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 3 ways as a sum of consecutive naturals, for example, 250906 + ... + 251065.

Almost surely, 2^40157680 is an apocalyptic number.

40157680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40157680 is an abundant number, since it is smaller than the sum of its proper divisors (53209112).

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

40157680 is a wasteful number, since it uses less digits than its factorization.

40157680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501984 (or 501978 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 40157680 is about 6337.0087580814. The cubic root of 40157680 is about 342.4439818164.

It can be divided in two parts, 401 and 57680, that added together give a square (58081 = 241²).

The spelling of 40157680 in words is "forty million, one hundred fifty-seven thousand, six hundred eighty".