40225848000 has 448 divisors, whose sum is σ = 147692912640. Its totient is φ = 9580032000.

The previous prime is 40225847989. The next prime is 40225848037. The reversal of 40225848000 is 84852204.

It is a happy number.

40225848000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9669921 + ... + 9674079.

It is an arithmetic number, because the mean of its divisors is an integer number (329671680).

Almost surely, 2^40225848000 is an apocalyptic number.

40225848000 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 40225848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73846456320).

40225848000 is an abundant number, since it is smaller than the sum of its proper divisors (107467064640).

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

40225848000 is a wasteful number, since it uses less digits than its factorization.

40225848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 40225848000 in words is "forty billion, two hundred twenty-five million, eight hundred forty-eight thousand".