40081920 has 160 divisors (see below), whose sum is σ = 136116288. Its totient is φ = 10027008.

The previous prime is 40081919. The next prime is 40081933. The reversal of 40081920 is 2918004.

It is a tau number, because it is divible by the number of its divisors (160).

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

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, 130407 + ... + 130713.

Almost surely, 2^40081920 is an apocalyptic number.

40081920 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 40081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058144).

40081920 is an abundant number, since it is smaller than the sum of its proper divisors (96034368).

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

40081920 is a wasteful number, since it uses less digits than its factorization.

40081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 40081920 is about 6331.0283524875. The cubic root of 40081920 is about 342.2284988510.

Adding to 40081920 its reverse (2918004), we get a palindrome (42999924).

It can be divided in two parts, 400 and 81920, that multiplied together give a cube (32768000 = 320³).

The spelling of 40081920 in words is "forty million, eighty-one thousand, nine hundred twenty".