19213770240 has 1200 divisors, whose sum is σ = 83990231424. Its totient is φ = 4180377600.

The previous prime is 19213770221. The next prime is 19213770241. The reversal of 19213770240 is 4207731291.

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 = 19213770195 and 19213770204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19213770241) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 314979810 + ... + 314979870.

Almost surely, 2^19213770240 is an apocalyptic number.

19213770240 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 19213770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41995115712).

19213770240 is an abundant number, since it is smaller than the sum of its proper divisors (64776461184).

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

19213770240 is an equidigital number, since it uses as much as digits as its factorization.

19213770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 19213770240 in words is "nineteen billion, two hundred thirteen million, seven hundred seventy thousand, two hundred forty".