19451077440 has 112 divisors (see below), whose sum is σ = 61819779840. Its totient is φ = 5181696000.

The previous prime is 19451077421. The next prime is 19451077501. The reversal of 19451077440 is 4477015491.

It is a junction number, because it is equal to n+sod(n) for n = 19451077392 and 19451077401.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 987690 + ... + 1007190.

It is an arithmetic number, because the mean of its divisors is an integer number (551962320).

Almost surely, 2^19451077440 is an apocalyptic number.

19451077440 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 19451077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30909889920).

19451077440 is an abundant number, since it is smaller than the sum of its proper divisors (42368702400).

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

19451077440 is a wasteful number, since it uses less digits than its factorization.

19451077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20560 (or 20550 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 19451077440 in words is "nineteen billion, four hundred fifty-one million, seventy-seven thousand, four hundred forty".