40102944 has 96 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 11304192.

The previous prime is 40102921. The next prime is 40102963. The reversal of 40102944 is 44920104.

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

It is a super-2 number, since 2×40102944² = 3216492234934272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55417 + ... + 56135.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^40102944 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 40102944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

40102944 is an abundant number, since it is smaller than the sum of its proper divisors (81824736).

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

40102944 is a wasteful number, since it uses less digits than its factorization.

40102944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 40102944 is about 6332.6885285793. The cubic root of 40102944 is about 342.2883242814.

The spelling of 40102944 in words is "forty million, one hundred two thousand, nine hundred forty-four".