40319744791304 has 128 divisors (see below), whose sum is σ = 85882100895360. Its totient is φ = 17586616320000.

The previous prime is 40319744791259. The next prime is 40319744791321.

40319744791304 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 40319744791304.

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, 53031764 + ... + 53786684.

It is an arithmetic number, because the mean of its divisors is an integer number (670953913245).

Almost surely, 2^{40319744791304} is an apocalyptic number.

40319744791304 is a gapful number since it is divisible by the number (44) 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 40319744791304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42941050447680).

40319744791304 is an abundant number, since it is smaller than the sum of its proper divisors (45562356104056).

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

40319744791304 is a wasteful number, since it uses less digits than its factorization.

40319744791304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755223 (or 755219 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 56.

The spelling of 40319744791304 in words is "forty trillion, three hundred nineteen billion, seven hundred forty-four million, seven hundred ninety-one thousand, three hundred four".