40391417109120 has 768 divisors, whose sum is σ = 165684376627200. Its totient is φ = 8274795110400.

The previous prime is 40391417108909. The next prime is 40391417109157. The reversal of 40391417109120 is 2190171419304.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73201621 + ... + 73751339.

It is an arithmetic number, because the mean of its divisors is an integer number (215734865400).

Almost surely, 2^{40391417109120} is an apocalyptic number.

40391417109120 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 40391417109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82842188313600).

40391417109120 is an abundant number, since it is smaller than the sum of its proper divisors (125292959518080).

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

40391417109120 is a wasteful number, since it uses less digits than its factorization.

40391417109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549837 (or 549818 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 40391417109120 in words is "forty trillion, three hundred ninety-one billion, four hundred seventeen million, one hundred nine thousand, one hundred twenty".