40671084840960 has 768 divisors, whose sum is σ = 150002389555200. Its totient is φ = 9215367708672.

The previous prime is 40671084840887. The next prime is 40671084841019. The reversal of 40671084840960 is 6904848017604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 40671084840960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16018543371 + ... + 16018545909.

It is an arithmetic number, because the mean of its divisors is an integer number (195315611400).

Almost surely, 2^{40671084840960} is an apocalyptic number.

40671084840960 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 40671084840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75001194777600).

40671084840960 is an abundant number, since it is smaller than the sum of its proper divisors (109331304714240).

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

40671084840960 is a wasteful number, since it uses less digits than its factorization.

40671084840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 40671084840960 in words is "forty trillion, six hundred seventy-one billion, eighty-four million, eight hundred forty thousand, nine hundred sixty".