1349457408000 has 1040 divisors, whose sum is σ = 5420124405696. Its totient is φ = 332041420800.

The previous prime is 1349457407971. The next prime is 1349457408031. The reversal of 1349457408000 is 8047549431.

1349457408000 is a `hidden beast` number, since 13 + 494 + 5 + 74 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

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 79 ways as a sum of consecutive naturals, for example, 539134749 + ... + 539137251.

Almost surely, 2^{1349457408000} is an apocalyptic number.

1349457408000 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 1349457408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710062202848).

1349457408000 is an abundant number, since it is smaller than the sum of its proper divisors (4070666997696).

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

1349457408000 is an equidigital number, since it uses as much as digits as its factorization.

1349457408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1349457408000 in words is "one trillion, three hundred forty-nine billion, four hundred fifty-seven million, four hundred eight thousand".