40557360 has 80 divisors (see below), whose sum is σ = 126349056. Its totient is φ = 10761984.

The previous prime is 40557347. The next prime is 40557371. The reversal of 40557360 is 6375504.

40557360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

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 15 ways as a sum of consecutive naturals, for example, 83037 + ... + 83523.

Almost surely, 2^40557360 is an apocalyptic number.

40557360 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 40557360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63174528).

40557360 is an abundant number, since it is smaller than the sum of its proper divisors (85791696).

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

40557360 is a wasteful number, since it uses less digits than its factorization.

40557360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 40557360 is about 6368.4660633468. The cubic root of 40557360 is about 343.5763217411.

The spelling of 40557360 in words is "forty million, five hundred fifty-seven thousand, three hundred sixty".