1392921391680 has 672 divisors, whose sum is σ = 6040569120768. Its totient is φ = 286720819200.

The previous prime is 1392921391661. The next prime is 1392921391699. The reversal of 1392921391680 is 861931292931.

1392921391680 is a `hidden beast` number, since 1 + 3 + 92 + 92 + 1 + 391 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1392921391661) and next prime (1392921391699).

It is a tau number, because it is divible by the number of its divisors (672).

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, 10680465 + ... + 10810095.

It is an arithmetic number, because the mean of its divisors is an integer number (8988942144).

Almost surely, 2^{1392921391680} is an apocalyptic number.

1392921391680 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 1392921391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020284560384).

1392921391680 is an abundant number, since it is smaller than the sum of its proper divisors (4647647729088).

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

1392921391680 is a wasteful number, since it uses less digits than its factorization.

1392921391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129715 (or 129702 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1392921391680 in words is "one trillion, three hundred ninety-two billion, nine hundred twenty-one million, three hundred ninety-one thousand, six hundred eighty".