40825920 has 168 divisors, whose sum is σ = 138476736. Its totient is φ = 10171392.

The previous prime is 40825919. The next prime is 40825921. The reversal of 40825920 is 2952804.

It is an interprime number because it is at equal distance from previous prime (40825919) and next prime (40825921).

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

It is not an unprimeable number, because it can be changed into a prime (40825921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949419 + ... + 949461.

Almost surely, 2^40825920 is an apocalyptic number.

40825920 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 40825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69238368).

40825920 is an abundant number, since it is smaller than the sum of its proper divisors (97650816).

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

40825920 is a wasteful number, since it uses less digits than its factorization.

40825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 40825920 is about 6389.5164136263. The cubic root of 40825920 is about 344.3330108565. Note that the first 3 decimals are identical.

The spelling of 40825920 in words is "forty million, eight hundred twenty-five thousand, nine hundred twenty".