19351130040 has 896 divisors, whose sum is σ = 77285767680. Its totient is φ = 4311014400.

The previous prime is 19351130023. The next prime is 19351130041. The reversal of 19351130040 is 4003115391.

19351130040 is a `hidden beast` number, since 1 + 9 + 351 + 1 + 300 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 19351129986 and 19351130013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19351130041) 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 223 ways as a sum of consecutive naturals, for example, 317231610 + ... + 317231670.

Almost surely, 2^19351130040 is an apocalyptic number.

19351130040 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 19351130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38642883840).

19351130040 is an abundant number, since it is smaller than the sum of its proper divisors (57934637640).

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

19351130040 is a wasteful number, since it uses less digits than its factorization.

19351130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 19351130040 in words is "nineteen billion, three hundred fifty-one million, one hundred thirty thousand, forty".