40953920 has 112 divisors (see below), whose sum is σ = 114117120. Its totient is φ = 13707264.

The previous prime is 40953919. The next prime is 40953923. The reversal of 40953920 is 2935904.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40953923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105086 + ... + 105474.

Almost surely, 2^40953920 is an apocalyptic number.

40953920 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 40953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

40953920 is an abundant number, since it is smaller than the sum of its proper divisors (73163200).

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

40953920 is a wasteful number, since it uses less digits than its factorization.

40953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 40953920 is about 6399.5249823717. The cubic root of 40953920 is about 344.6924936198.

The spelling of 40953920 in words is "forty million, nine hundred fifty-three thousand, nine hundred twenty".