1334721172704 has 96 divisors (see below), whose sum is σ = 3597278065920. Its totient is φ = 433066368000.

The previous prime is 1334721172699. The next prime is 1334721172727. The reversal of 1334721172704 is 4072711274331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1334721172704³ (a number of 37 digits) contains 333 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341679 + ... + 2114129.

It is an arithmetic number, because the mean of its divisors is an integer number (37471646520).

Almost surely, 2^{1334721172704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334721172704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798639032960).

1334721172704 is an abundant number, since it is smaller than the sum of its proper divisors (2262556893216).

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

1334721172704 is a wasteful number, since it uses less digits than its factorization.

1334721172704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772944 (or 772936 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 1334721172704 in words is "one trillion, three hundred thirty-four billion, seven hundred twenty-one million, one hundred seventy-two thousand, seven hundred four".