19740490317072 has 240 divisors, whose sum is σ = 64671781574400. Its totient is φ = 5618690993664.

The previous prime is 19740490317071. The next prime is 19740490317103. The reversal of 19740490317072 is 27071309404791.

It is a happy number.

19740490317072 is a `hidden beast` number, since 1 + 9 + 74 + 0 + 490 + 3 + 17 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (19740490317071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12230268 + ... + 13749924.

It is an arithmetic number, because the mean of its divisors is an integer number (269465756560).

Almost surely, 2^{19740490317072} is an apocalyptic number.

19740490317072 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 19740490317072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32335890787200).

19740490317072 is an abundant number, since it is smaller than the sum of its proper divisors (44931291257328).

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

19740490317072 is a wasteful number, since it uses less digits than its factorization.

19740490317072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519955 (or 1519932 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 19740490317072 in words is "nineteen trillion, seven hundred forty billion, four hundred ninety million, three hundred seventeen thousand, seventy-two".