40181856 has 96 divisors (see below), whose sum is σ = 123959808. Its totient is φ = 11235840.

The previous prime is 40181831. The next prime is 40181861. The reversal of 40181856 is 65818104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40181856² = 3229163103209472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 12265 + ... + 15191.

It is an arithmetic number, because the mean of its divisors is an integer number (1291248).

Almost surely, 2^40181856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40181856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61979904).

40181856 is an abundant number, since it is smaller than the sum of its proper divisors (83777952).

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

40181856 is a wasteful number, since it uses less digits than its factorization.

40181856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 40181856 is about 6338.9159956573. The cubic root of 40181856 is about 342.5126881832.

The spelling of 40181856 in words is "forty million, one hundred eighty-one thousand, eight hundred fifty-six".