1319641407072 has 36 divisors (see below), whose sum is σ = 3752730252180. Its totient is φ = 439880468928.

The previous prime is 1319641407059. The next prime is 1319641407083. The reversal of 1319641407072 is 2707041469131.

It is a happy number.

1319641407072 is a `hidden beast` number, since 1 + 319 + 64 + 140 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1319641407072² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2291043822 + ... + 2291044397.

It is an arithmetic number, because the mean of its divisors is an integer number (104242507005).

Almost surely, 2^{1319641407072} is an apocalyptic number.

1319641407072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1319641407072 is an abundant number, since it is smaller than the sum of its proper divisors (2433088845108).

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

1319641407072 is a wasteful number, since it uses less digits than its factorization.

1319641407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582088235 (or 4582088224 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1319641407072 in words is "one trillion, three hundred nineteen billion, six hundred forty-one million, four hundred seven thousand, seventy-two".