40681920 has 112 divisors (see below), whose sum is σ = 133429248. Its totient is φ = 10490880.

The previous prime is 40681909. The next prime is 40681939. The reversal of 40681920 is 2918604.

It is a super-2 number, since 2×40681920² = 3310037229772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29077 + ... + 30443.

Almost surely, 2^40681920 is an apocalyptic number.

40681920 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 40681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66714624).

40681920 is an abundant number, since it is smaller than the sum of its proper divisors (92747328).

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

40681920 is a wasteful number, since it uses less digits than its factorization.

40681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 40681920 is about 6378.2380012038. The cubic root of 40681920 is about 343.9276934741.

The spelling of 40681920 in words is "forty million, six hundred eighty-one thousand, nine hundred twenty".