1321739274240 has 1152 divisors, whose sum is σ = 6012471628800. Its totient is φ = 260165468160.

The previous prime is 1321739274239. The next prime is 1321739274301. The reversal of 1321739274240 is 424729371231.

1321739274240 is a `hidden beast` number, since 1 + 3 + 2 + 17 + 392 + 7 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134825179 + ... + 134834981.

It is an arithmetic number, because the mean of its divisors is an integer number (5219159400).

Almost surely, 2^{1321739274240} is an apocalyptic number.

1321739274240 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 1321739274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006235814400).

1321739274240 is an abundant number, since it is smaller than the sum of its proper divisors (4690732354560).

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

1321739274240 is a wasteful number, since it uses less digits than its factorization.

1321739274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9873 (or 9850 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1321739274240 in words is "one trillion, three hundred twenty-one billion, seven hundred thirty-nine million, two hundred seventy-four thousand, two hundred forty".