40993920 has 192 divisors, whose sum is σ = 154664640. Its totient is φ = 9922560.

The previous prime is 40993913. The next prime is 40993937. The reversal of 40993920 is 2939904.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63037 + ... + 63683.

It is an arithmetic number, because the mean of its divisors is an integer number (805545).

Almost surely, 2^40993920 is an apocalyptic number.

40993920 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 40993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77332320).

40993920 is an abundant number, since it is smaller than the sum of its proper divisors (113670720).

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

40993920 is a wasteful number, since it uses less digits than its factorization.

40993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 40993920 is about 6402.6494515942. The cubic root of 40993920 is about 344.8046783495.

The spelling of 40993920 in words is "forty million, nine hundred ninety-three thousand, nine hundred twenty".