1349702180640 has 864 divisors, whose sum is σ = 5439207848256. Its totient is φ = 302088683520.

The previous prime is 1349702180639. The next prime is 1349702180641. The reversal of 1349702180640 is 460812079431.

1349702180640 is a `hidden beast` number, since 1 + 3 + 497 + 0 + 21 + 80 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1349702180639) and next prime (1349702180641).

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

It is not an unprimeable number, because it can be changed into a prime (1349702180641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 242618499 + ... + 242624061.

It is an arithmetic number, because the mean of its divisors is an integer number (6295379454).

Almost surely, 2^{1349702180640} is an apocalyptic number.

1349702180640 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 1349702180640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719603924128).

1349702180640 is an abundant number, since it is smaller than the sum of its proper divisors (4089505667616).

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

1349702180640 is a wasteful number, since it uses less digits than its factorization.

1349702180640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1349702180640 in words is "one trillion, three hundred forty-nine billion, seven hundred two million, one hundred eighty thousand, six hundred forty".