19970240274432 has 1008 divisors, whose sum is σ = 68351946811200. Its totient is φ = 5601086668800.

The previous prime is 19970240274427. The next prime is 19970240274469. The reversal of 19970240274432 is 23447204207991.

19970240274432 is a `hidden beast` number, since 1 + 9 + 97 + 0 + 240 + 274 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83557490569 + ... + 83557490807.

Almost surely, 2^{19970240274432} is an apocalyptic number.

19970240274432 is a gapful number since it is divisible by the number (12) 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 19970240274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34175973405600).

19970240274432 is an abundant number, since it is smaller than the sum of its proper divisors (48381706536768).

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

19970240274432 is a wasteful number, since it uses less digits than its factorization.

19970240274432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 19970240274432 in words is "nineteen trillion, nine hundred seventy billion, two hundred forty million, two hundred seventy-four thousand, four hundred thirty-two".