1993402639296 has 336 divisors, whose sum is σ = 6246521517600. Its totient is φ = 605589405696.

The previous prime is 1993402639223. The next prime is 1993402639321. The reversal of 1993402639296 is 6929362043991.

1993402639296 is a `hidden beast` number, since 1 + 9 + 9 + 340 + 263 + 9 + 29 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36010936 + ... + 36066248.

It is an arithmetic number, because the mean of its divisors is an integer number (18590837850).

Almost surely, 2^{1993402639296} is an apocalyptic number.

1993402639296 is a gapful number since it is divisible by the number (16) 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 1993402639296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123260758800).

1993402639296 is an abundant number, since it is smaller than the sum of its proper divisors (4253118878304).

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

1993402639296 is a wasteful number, since it uses less digits than its factorization.

1993402639296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55476 (or 55463 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 1993402639296 in words is "one trillion, nine hundred ninety-three billion, four hundred two million, six hundred thirty-nine thousand, two hundred ninety-six".