40113920 has 216 divisors, whose sum is σ = 123964512. Its totient is φ = 12165120.

The previous prime is 40113919. The next prime is 40113937. The reversal of 40113920 is 2931104.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40113892 and 40113901.

It is a congruent number.

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, 1084142 + ... + 1084178.

Almost surely, 2^40113920 is an apocalyptic number.

40113920 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 40113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61982256).

40113920 is an abundant number, since it is smaller than the sum of its proper divisors (83850592).

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

40113920 is a wasteful number, since it uses less digits than its factorization.

40113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 40113920 is about 6333.5550838372. Note that the first 3 decimals coincide. The cubic root of 40113920 is about 342.3195490375.

The spelling of 40113920 in words is "forty million, one hundred thirteen thousand, nine hundred twenty".