40274921308160 has 960 divisors, whose sum is σ = 123131109104640. Its totient is φ = 12282683719680.

The previous prime is 40274921308129. The next prime is 40274921308169. The reversal of 40274921308160 is 6180312947204.

It is not an unprimeable number, because it can be changed into a prime (40274921308169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98471690036 + ... + 98471690444.

It is an arithmetic number, because the mean of its divisors is an integer number (128261571984).

Almost surely, 2^{40274921308160} is an apocalyptic number.

40274921308160 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 40274921308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61565554552320).

40274921308160 is an abundant number, since it is smaller than the sum of its proper divisors (82856187796480).

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

40274921308160 is a wasteful number, since it uses less digits than its factorization.

40274921308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 40274921308160 in words is "forty trillion, two hundred seventy-four billion, nine hundred twenty-one million, three hundred eight thousand, one hundred sixty".