40896417120 has 288 divisors, whose sum is σ = 143700534432. Its totient is φ = 9718431744.

The previous prime is 40896417119. The next prime is 40896417151. The reversal of 40896417120 is 2171469804.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5243944 + ... + 5251736.

It is an arithmetic number, because the mean of its divisors is an integer number (498960189).

Almost surely, 2^40896417120 is an apocalyptic number.

40896417120 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 40896417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850267216).

40896417120 is an abundant number, since it is smaller than the sum of its proper divisors (102804117312).

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

40896417120 is a wasteful number, since it uses less digits than its factorization.

40896417120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 40896417120 in words is "forty billion, eight hundred ninety-six million, four hundred seventeen thousand, one hundred twenty".