19045425140820 has 432 divisors, whose sum is σ = 63758408772240. Its totient is φ = 4574563209216.

The previous prime is 19045425140783. The next prime is 19045425140831. The reversal of 19045425140820 is 2804152454091.

19045425140820 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 5 + 425 + 140 + 82 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 166591320336 + 18878833820484 = 408156^2 + 4344978^2 .

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 143 ways as a sum of consecutive naturals, for example, 6978901216 + ... + 6978903944.

It is an arithmetic number, because the mean of its divisors is an integer number (147588909195).

Almost surely, 2^{19045425140820} is an apocalyptic number.

19045425140820 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 19045425140820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31879204386120).

19045425140820 is an abundant number, since it is smaller than the sum of its proper divisors (44712983631420).

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

19045425140820 is a wasteful number, since it uses less digits than its factorization.

19045425140820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 19045425140820 in words is "nineteen trillion, forty-five billion, four hundred twenty-five million, one hundred forty thousand, eight hundred twenty".