40961920 has 64 divisors (see below), whose sum is σ = 101347200. Its totient is φ = 15812608.

The previous prime is 40961897. The next prime is 40961933. The reversal of 40961920 is 2916904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17457 + ... + 19663.

It is an arithmetic number, because the mean of its divisors is an integer number (1583550).

Almost surely, 2^40961920 is an apocalyptic number.

40961920 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 40961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50673600).

40961920 is an abundant number, since it is smaller than the sum of its proper divisors (60385280).

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

40961920 is a wasteful number, since it uses less digits than its factorization.

40961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 40961920 is about 6400.1499982422. The cubic root of 40961920 is about 344.7149364077.

The spelling of 40961920 in words is "forty million, nine hundred sixty-one thousand, nine hundred twenty".