1442253496320 has 2240 divisors, whose sum is σ = 6761914701696. Its totient is φ = 285380444160.

The previous prime is 1442253496289. The next prime is 1442253496339. The reversal of 1442253496320 is 236943522441.

1442253496320 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 2 + 5 + 3 + 4 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5132574580 + ... + 5132574860.

Almost surely, 2^{1442253496320} is an apocalyptic number.

1442253496320 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 1442253496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380957350848).

1442253496320 is an abundant number, since it is smaller than the sum of its proper divisors (5319661205376).

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

1442253496320 is a wasteful number, since it uses less digits than its factorization.

1442253496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 1442253496320 in words is "one trillion, four hundred forty-two billion, two hundred fifty-three million, four hundred ninety-six thousand, three hundred twenty".