23240197440 has 168 divisors, whose sum is σ = 80212329288. Its totient is φ = 6176010240.

The previous prime is 23240197433. The next prime is 23240197447. The reversal of 23240197440 is 4479104232.

23240197440 is a `hidden beast` number, since 2 + 3 + 24 + 0 + 197 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (23240197433) and next prime (23240197447).

It can be written as a sum of positive squares in 4 ways, for example, as 6306901056 + 16933296384 = 79416^2 + 130128^2 .

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 = 23240197395 and 23240197404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23240197447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830070 + ... + 857610.

It is an arithmetic number, because the mean of its divisors is an integer number (477454341).

Almost surely, 2^23240197440 is an apocalyptic number.

23240197440 is a gapful number since it is divisible by the number (20) 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 23240197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40106164644).

23240197440 is an abundant number, since it is smaller than the sum of its proper divisors (56972131848).

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

23240197440 is a wasteful number, since it uses less digits than its factorization.

23240197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27857 (or 27844 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23240197440 in words is "twenty-three billion, two hundred forty million, one hundred ninety-seven thousand, four hundred forty".