40954374144 has 384 divisors, whose sum is σ = 135272592000. Its totient is φ = 12166889472.

The previous prime is 40954374073. The next prime is 40954374169. The reversal of 40954374144 is 44147345904.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×40954374144³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40954374144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17859462 + ... + 17861754.

It is an arithmetic number, because the mean of its divisors is an integer number (352272375).

Almost surely, 2^40954374144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40954374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67636296000).

40954374144 is an abundant number, since it is smaller than the sum of its proper divisors (94318217856).

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

40954374144 is a wasteful number, since it uses less digits than its factorization.

40954374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 40954374144 in words is "forty billion, nine hundred fifty-four million, three hundred seventy-four thousand, one hundred forty-four".