19258315440 has 320 divisors, whose sum is σ = 73651286016. Its totient is φ = 4053712896.

The previous prime is 19258315361. The next prime is 19258315459. The reversal of 19258315440 is 4451385291.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 19258315392 and 19258315401.

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 63 ways as a sum of consecutive naturals, for example, 12950377 + ... + 12951863.

Almost surely, 2^19258315440 is an apocalyptic number.

19258315440 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 19258315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36825643008).

19258315440 is an abundant number, since it is smaller than the sum of its proper divisors (54392970576).

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

19258315440 is a wasteful number, since it uses less digits than its factorization.

19258315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 19258315440 in words is "nineteen billion, two hundred fifty-eight million, three hundred fifteen thousand, four hundred forty".