19418480640 has 384 divisors, whose sum is σ = 72566119080. Its totient is φ = 4775215104.

The previous prime is 19418480611. The next prime is 19418480651. The reversal of 19418480640 is 4608481491.

It can be written as a sum of positive squares in 4 ways, for example, as 5156388864 + 14262091776 = 71808^2 + 119424^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 19168774 + ... + 19169786.

Almost surely, 2^19418480640 is an apocalyptic number.

19418480640 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 19418480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36283059540).

19418480640 is an abundant number, since it is smaller than the sum of its proper divisors (53147638440).

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

19418480640 is a wasteful number, since it uses less digits than its factorization.

19418480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 19418480640 in words is "nineteen billion, four hundred eighteen million, four hundred eighty thousand, six hundred forty".