1349190072720 has 720 divisors, whose sum is σ = 5528670571008. Its totient is φ = 293654108160.

The previous prime is 1349190072697. The next prime is 1349190072721. The reversal of 1349190072720 is 272700919431.

1349190072720 is a `hidden beast` number, since 1 + 3 + 491 + 90 + 0 + 7 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (1349190072721) 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, 61340925 + ... + 61362915.

Almost surely, 2^{1349190072720} is an apocalyptic number.

1349190072720 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 1349190072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764335285504).

1349190072720 is an abundant number, since it is smaller than the sum of its proper divisors (4179480498288).

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

1349190072720 is a wasteful number, since it uses less digits than its factorization.

1349190072720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22108 (or 22092 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 1349190072720 in words is "one trillion, three hundred forty-nine billion, one hundred ninety million, seventy-two thousand, seven hundred twenty".