1349558496000 has 2160 divisors, whose sum is σ = 5962777845024. Its totient is φ = 301086720000.

The previous prime is 1349558495951. The next prime is 1349558496047. The reversal of 1349558496000 is 6948559431.

1349558496000 is a `hidden beast` number, since 1 + 3 + 49 + 558 + 49 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4077215835 + ... + 4077216165.

Almost surely, 2^{1349558496000} is an apocalyptic number.

1349558496000 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 1349558496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981388922512).

1349558496000 is an abundant number, since it is smaller than the sum of its proper divisors (4613219349024).

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

1349558496000 is a wasteful number, since it uses less digits than its factorization.

1349558496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1349558496000 in words is "one trillion, three hundred forty-nine billion, five hundred fifty-eight million, four hundred ninety-six thousand".