40846968960 has 1024 divisors, whose sum is σ = 166949683200. Its totient is φ = 8281128960.

The previous prime is 40846968893. The next prime is 40846968961. The reversal of 40846968960 is 6986964804.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 40846968894 and 40846968903.

It is not an unprimeable number, because it can be changed into a prime (40846968961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 517050201 + ... + 517050279.

It is an arithmetic number, because the mean of its divisors is an integer number (163036800).

Almost surely, 2^40846968960 is an apocalyptic number.

40846968960 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 40846968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83474841600).

40846968960 is an abundant number, since it is smaller than the sum of its proper divisors (126102714240).

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

40846968960 is a wasteful number, since it uses less digits than its factorization.

40846968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 40846968960 in words is "forty billion, eight hundred forty-six million, nine hundred sixty-eight thousand, nine hundred sixty".