1958040323316 has 288 divisors, whose sum is σ = 6644533109760. Its totient is φ = 470551680000.

The previous prime is 1958040323251. The next prime is 1958040323329. The reversal of 1958040323316 is 6133230408591.

1958040323316 is a `hidden beast` number, since 1 + 9 + 5 + 8 + 0 + 4 + 0 + 323 + 316 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2428191 + ... + 3132441.

It is an arithmetic number, because the mean of its divisors is an integer number (23071295520).

Almost surely, 2^{1958040323316} 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 1958040323316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322266554880).

1958040323316 is an abundant number, since it is smaller than the sum of its proper divisors (4686492786444).

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

1958040323316 is a wasteful number, since it uses less digits than its factorization.

1958040323316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704355 (or 704350 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1958040323316 in words is "one trillion, nine hundred fifty-eight billion, forty million, three hundred twenty-three thousand, three hundred sixteen".