19440699951456 has 480 divisors, whose sum is σ = 66553127182080. Its totient is φ = 5452152228864.

The previous prime is 19440699951359. The next prime is 19440699951571. The reversal of 19440699951456 is 65415999604491.

It is a happy number.

19440699951456 is a `hidden beast` number, since 1 + 9 + 4 + 40 + 69 + 9 + 9 + 514 + 5 + 6 = 666.

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 79 ways as a sum of consecutive naturals, for example, 344000130 + ... + 344056638.

It is an arithmetic number, because the mean of its divisors is an integer number (138652348296).

Almost surely, 2^{19440699951456} is an apocalyptic number.

19440699951456 is a gapful number since it is divisible by the number (16) 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 19440699951456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33276563591040).

19440699951456 is an abundant number, since it is smaller than the sum of its proper divisors (47112427230624).

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

19440699951456 is a wasteful number, since it uses less digits than its factorization.

19440699951456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56888 (or 56871 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 19440699951456 in words is "nineteen trillion, four hundred forty billion, six hundred ninety-nine million, nine hundred fifty-one thousand, four hundred fifty-six".