19967245440 has 256 divisors, whose sum is σ = 65197094400. Its totient is φ = 5195939840.

The previous prime is 19967245393. The next prime is 19967245447. The reversal of 19967245440 is 4454276991.

It is a super-2 number, since 2×19967245440² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19967245447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24320230 + ... + 24321050.

It is an arithmetic number, because the mean of its divisors is an integer number (254676150).

Almost surely, 2^19967245440 is an apocalyptic number.

19967245440 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 19967245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32598547200).

19967245440 is an abundant number, since it is smaller than the sum of its proper divisors (45229848960).

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

19967245440 is a wasteful number, since it uses less digits than its factorization.

19967245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 19967245440 in words is "nineteen billion, nine hundred sixty-seven million, two hundred forty-five thousand, four hundred forty".