19724351040 has 224 divisors, whose sum is σ = 72609212160. Its totient is φ = 5031088128.

The previous prime is 19724351029. The next prime is 19724351069. The reversal of 19724351040 is 4015342791.

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 = 19724350986 and 19724351004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149092 + ... + 248348.

Almost surely, 2^19724351040 is an apocalyptic number.

19724351040 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 19724351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36304606080).

19724351040 is an abundant number, since it is smaller than the sum of its proper divisors (52884861120).

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

19724351040 is a wasteful number, since it uses less digits than its factorization.

19724351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99306 (or 99290 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 19724351040 in words is "nineteen billion, seven hundred twenty-four million, three hundred fifty-one thousand, forty".