40013313984000 has 2560 divisors, whose sum is σ = 184669003284480. Its totient is φ = 8328904704000.

The previous prime is 40013313983971. The next prime is 40013313984037. The reversal of 40013313984000 is 48931331004.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6374588862 + ... + 6374595138.

It is an arithmetic number, because the mean of its divisors is an integer number (72136329408).

Almost surely, 2^{40013313984000} is an apocalyptic number.

40013313984000 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 40013313984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92334501642240).

40013313984000 is an abundant number, since it is smaller than the sum of its proper divisors (144655689300480).

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

40013313984000 is a wasteful number, since it uses less digits than its factorization.

40013313984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 40013313984000 in words is "forty trillion, thirteen billion, three hundred thirteen million, nine hundred eighty-four thousand".