1349312567040 has 1080 divisors, whose sum is σ = 5135562165888. Its totient is φ = 337801052160.

The previous prime is 1349312567021. The next prime is 1349312567117. The reversal of 1349312567040 is 407652139431.

1349312567040 is a `hidden beast` number, since 1 + 3 + 49 + 3 + 1 + 2 + 567 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15160815316 + ... + 15160815404.

Almost surely, 2^{1349312567040} is an apocalyptic number.

1349312567040 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 1349312567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567781082944).

1349312567040 is an abundant number, since it is smaller than the sum of its proper divisors (3786249598848).

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

1349312567040 is an frugal number, since it uses more digits than its factorization.

1349312567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1349312567040 in words is "one trillion, three hundred forty-nine billion, three hundred twelve million, five hundred sixty-seven thousand, forty".