19917983741040 has 960 divisors, whose sum is σ = 86846063496192. Its totient is φ = 4121553715200.

The previous prime is 19917983740973. The next prime is 19917983741063. The reversal of 19917983741040 is 4014738971991.

19917983741040 is a `hidden beast` number, since 1 + 9 + 9 + 179 + 8 + 3 + 7 + 410 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 360720474 + ... + 360775686.

Almost surely, 2^{19917983741040} is an apocalyptic number.

19917983741040 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 19917983741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43423031748096).

19917983741040 is an abundant number, since it is smaller than the sum of its proper divisors (66928079755152).

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

19917983741040 is a wasteful number, since it uses less digits than its factorization.

19917983741040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55500 (or 55482 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 19917983741040 in words is "nineteen trillion, nine hundred seventeen billion, nine hundred eighty-three million, seven hundred forty-one thousand, forty".