19045751040 has 216 divisors, whose sum is σ = 66693594240. Its totient is φ = 5017423872.

The previous prime is 19045750991. The next prime is 19045751041. The reversal of 19045751040 is 4015754091.

19045751040 is a `hidden beast` number, since 1 + 90 + 4 + 57 + 510 + 4 + 0 = 666.

It is a super-2 number, since 2×19045751040² (a number of 21 digits) contains 22 as substring.

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 = 19045750986 and 19045751004.

It is not an unprimeable number, because it can be changed into a prime (19045751041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 946201 + ... + 966119.

It is an arithmetic number, because the mean of its divisors is an integer number (308766640).

Almost surely, 2^19045751040 is an apocalyptic number.

19045751040 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 19045751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33346797120).

19045751040 is an abundant number, since it is smaller than the sum of its proper divisors (47647843200).

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

19045751040 is a wasteful number, since it uses less digits than its factorization.

19045751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20029 (or 20012 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 19045751040 in words is "nineteen billion, forty-five million, seven hundred fifty-one thousand, forty".