19630045440 has 504 divisors, whose sum is σ = 71513284920. Its totient is φ = 5159780352.

The previous prime is 19630045397. The next prime is 19630045447. The reversal of 19630045440 is 4454003691.

19630045440 is a `hidden beast` number, since 19 + 630 + 0 + 4 + 5 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1579585536 + 18050459904 = 39744^2 + 134352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19630045395 and 19630045404.

It is not an unprimeable number, because it can be changed into a prime (19630045447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 101709984 + ... + 101710176.

Almost surely, 2^19630045440 is an apocalyptic number.

19630045440 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 19630045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35756642460).

19630045440 is an abundant number, since it is smaller than the sum of its proper divisors (51883239480).

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

19630045440 is an equidigital number, since it uses as much as digits as its factorization.

19630045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 19630045440 in words is "nineteen billion, six hundred thirty million, forty-five thousand, four hundred forty".