1349493626880 has 1536 divisors, whose sum is σ = 5748483686400. Its totient is φ = 293820825600.

The previous prime is 1349493626879. The next prime is 1349493626903. The reversal of 1349493626880 is 886263949431.

1349493626880 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 493 + 6 + 2 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1349493626880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4979681145 + ... + 4979681415.

It is an arithmetic number, because the mean of its divisors is an integer number (3742502400).

Almost surely, 2^{1349493626880} is an apocalyptic number.

1349493626880 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 1349493626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874241843200).

1349493626880 is an abundant number, since it is smaller than the sum of its proper divisors (4398990059520).

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

1349493626880 is a wasteful number, since it uses less digits than its factorization.

1349493626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 1349493626880 in words is "one trillion, three hundred forty-nine billion, four hundred ninety-three million, six hundred twenty-six thousand, eight hundred eighty".