19723213117440 has 1152 divisors, whose sum is σ = 81449488673280. Its totient is φ = 4484040228864.

The previous prime is 19723213117381. The next prime is 19723213117469. The reversal of 19723213117440 is 4471131232791.

19723213117440 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 321 + 311 + 7 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3361717387 + ... + 3361723253.

It is an arithmetic number, because the mean of its divisors is an integer number (70702681140).

Almost surely, 2^{19723213117440} is an apocalyptic number.

19723213117440 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 19723213117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40724744336640).

19723213117440 is an abundant number, since it is smaller than the sum of its proper divisors (61726275555840).

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

19723213117440 is an equidigital number, since it uses as much as digits as its factorization.

19723213117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 19723213117440 in words is "nineteen trillion, seven hundred twenty-three billion, two hundred thirteen million, one hundred seventeen thousand, four hundred forty".