19993594429440 has 480 divisors, whose sum is σ = 69850949454000. Its totient is φ = 5290107863040.

The previous prime is 19993594429427. The next prime is 19993594429453. The reversal of 19993594429440 is 4492449539991.

19993594429440 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 3 + 59 + 442 + 94 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (19993594429427) and next prime (19993594429453).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3090674526 + ... + 3090680994.

Almost surely, 2^{19993594429440} is an apocalyptic number.

19993594429440 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 19993594429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34925474727000).

19993594429440 is an abundant number, since it is smaller than the sum of its proper divisors (49857355024560).

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

19993594429440 is an frugal number, since it uses more digits than its factorization.

19993594429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6649 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 19993594429440 in words is "nineteen trillion, nine hundred ninety-three billion, five hundred ninety-four million, four hundred twenty-nine thousand, four hundred forty".