40309920 has 384 divisors, whose sum is σ = 170311680. Its totient is φ = 8709120.

The previous prime is 40309897. The next prime is 40309931. The reversal of 40309920 is 2990304.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937419 + ... + 937461.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 2^40309920 is an apocalyptic number.

40309920 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 40309920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85155840).

40309920 is an abundant number, since it is smaller than the sum of its proper divisors (130001760).

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

40309920 is a wasteful number, since it uses less digits than its factorization.

40309920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 40309920 is about 6349.0093715477. The cubic root of 40309920 is about 342.8761775146.

The spelling of 40309920 in words is "forty million, three hundred nine thousand, nine hundred twenty".