40225920 has 256 divisors, whose sum is σ = 152167680. Its totient is φ = 8847360.

The previous prime is 40225909. The next prime is 40225921. The reversal of 40225920 is 2952204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40225921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551004 + ... + 551076.

It is an arithmetic number, because the mean of its divisors is an integer number (594405).

Almost surely, 2^40225920 is an apocalyptic number.

40225920 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 40225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76083840).

40225920 is an abundant number, since it is smaller than the sum of its proper divisors (111941760).

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

40225920 is a wasteful number, since it uses less digits than its factorization.

40225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 40225920 is about 6342.3907164412. The cubic root of 40225920 is about 342.6378438884.

The spelling of 40225920 in words is "forty million, two hundred twenty-five thousand, nine hundred twenty".