19400519797344 has 768 divisors, whose sum is σ = 67959859968000. Its totient is φ = 5379059073024.

The previous prime is 19400519797303. The next prime is 19400519797349. The reversal of 19400519797344 is 44379791500491.

19400519797344 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 0 + 519 + 7 + 9 + 73 + 44 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19400519797349) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2000667504 + ... + 2000677200.

It is an arithmetic number, because the mean of its divisors is an integer number (88489401000).

Almost surely, 2^{19400519797344} is an apocalyptic number.

19400519797344 is a gapful number since it is divisible by the number (14) 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 19400519797344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33979929984000).

19400519797344 is an abundant number, since it is smaller than the sum of its proper divisors (48559340170656).

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

19400519797344 is a wasteful number, since it uses less digits than its factorization.

19400519797344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9937 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 19400519797344 in words is "nineteen trillion, four hundred billion, five hundred nineteen million, seven hundred ninety-seven thousand, three hundred forty-four".