19300393440 has 144 divisors (see below), whose sum is σ = 65902165056. Its totient is φ = 5143680000.

The previous prime is 19300393429. The next prime is 19300393493. The reversal of 19300393440 is 4439300391.

19300393440 is a `hidden beast` number, since 1 + 9 + 300 + 3 + 9 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 19300393395 and 19300393404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3382590 + ... + 3388290.

It is an arithmetic number, because the mean of its divisors is an integer number (457653924).

Almost surely, 2^19300393440 is an apocalyptic number.

19300393440 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 19300393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32951082528).

19300393440 is an abundant number, since it is smaller than the sum of its proper divisors (46601771616).

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

19300393440 is a wasteful number, since it uses less digits than its factorization.

19300393440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8073 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 19300393440 in words is "nineteen billion, three hundred million, three hundred ninety-three thousand, four hundred forty".