40444920 has 224 divisors, whose sum is σ = 145587600. Its totient is φ = 10077696.

The previous prime is 40444903. The next prime is 40444931. The reversal of 40444920 is 2944404.

40444920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 554004 + ... + 554076.

Almost surely, 2^40444920 is an apocalyptic number.

40444920 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 40444920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72793800).

40444920 is an abundant number, since it is smaller than the sum of its proper divisors (105142680).

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

40444920 is a wasteful number, since it uses less digits than its factorization.

40444920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40444920 is about 6359.6320648289. The cubic root of 40444920 is about 343.2585210002.

The spelling of 40444920 in words is "forty million, four hundred forty-four thousand, nine hundred twenty".