19472087040 has 768 divisors, whose sum is σ = 77290536960. Its totient is φ = 4087480320.

The previous prime is 19472087039. The next prime is 19472087077. The reversal of 19472087040 is 4078027491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 19472086983 and 19472087001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153323457 + ... + 153323583.

It is an arithmetic number, because the mean of its divisors is an integer number (100638720).

Almost surely, 2^19472087040 is an apocalyptic number.

19472087040 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 19472087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38645268480).

19472087040 is an abundant number, since it is smaller than the sum of its proper divisors (57818449920).

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

19472087040 is a wasteful number, since it uses less digits than its factorization.

19472087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 19472087040 in words is "nineteen billion, four hundred seventy-two million, eighty-seven thousand, forty".