40229925120 has 1944 divisors, whose sum is σ = 193384638720. Its totient is φ = 7664025600.

The previous prime is 40229925103. The next prime is 40229925121. The reversal of 40229925120 is 2152992204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40229925121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1297739505 + ... + 1297739535.

Almost surely, 2^40229925120 is an apocalyptic number.

40229925120 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 40229925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96692319360).

40229925120 is an abundant number, since it is smaller than the sum of its proper divisors (153154713600).

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

40229925120 is a wasteful number, since it uses less digits than its factorization.

40229925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 40229925120 in words is "forty billion, two hundred twenty-nine million, nine hundred twenty-five thousand, one hundred twenty".