1167324598440 has 1536 divisors, whose sum is σ = 5547709440000. Its totient is φ = 204768829440.

The previous prime is 1167324598439. The next prime is 1167324598463. The reversal of 1167324598440 is 448954237611.

1167324598440 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 3 + 2 + 4 + 598 + 4 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 198555421 + ... + 198561299.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790000).

It is a 1-persistent number, because it is pandigital, but 2⋅1167324598440 = 2334649196880 is not.

Almost surely, 2^{1167324598440} is an apocalyptic number.

1167324598440 is a gapful number since it is divisible by the number (10) 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 1167324598440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773854720000).

1167324598440 is an abundant number, since it is smaller than the sum of its proper divisors (4380384841560).

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

1167324598440 is a wasteful number, since it uses less digits than its factorization.

1167324598440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5975 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1167324598440 in words is "one trillion, one hundred sixty-seven billion, three hundred twenty-four million, five hundred ninety-eight thousand, four hundred forty".