40225920000 has 880 divisors, whose sum is σ = 159001003392. Its totient is φ = 8847360000.

The previous prime is 40225919983. The next prime is 40225920011. The reversal of 40225920000 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 551039964 + ... + 551040036.

Almost surely, 2^40225920000 is an apocalyptic number.

40225920000 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 40225920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79500501696).

40225920000 is an abundant number, since it is smaller than the sum of its proper divisors (118775083392).

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

40225920000 is an equidigital number, since it uses as much as digits as its factorization.

40225920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

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

The spelling of 40225920000 in words is "forty billion, two hundred twenty-five million, nine hundred twenty thousand".