40959974448 has 240 divisors, whose sum is σ = 120752985600. Its totient is φ = 12943687680.

The previous prime is 40959974443. The next prime is 40959974453. The reversal of 40959974448 is 84447995904.

It is an interprime number because it is at equal distance from previous prime (40959974443) and next prime (40959974453).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40959974443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70987536 + ... + 70988112.

It is an arithmetic number, because the mean of its divisors is an integer number (503137440).

Almost surely, 2^40959974448 is an apocalyptic number.

40959974448 is a gapful number since it is divisible by the number (48) 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 40959974448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60376492800).

40959974448 is an abundant number, since it is smaller than the sum of its proper divisors (79793011152).

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

40959974448 is a wasteful number, since it uses less digits than its factorization.

40959974448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 40959974448 in words is "forty billion, nine hundred fifty-nine million, nine hundred seventy-four thousand, four hundred forty-eight".