23257061440 has 224 divisors, whose sum is σ = 58132577664. Its totient is φ = 8856207360.

The previous prime is 23257061423. The next prime is 23257061453. The reversal of 23257061440 is 4416075232.

It is a junction number, because it is equal to n+sod(n) for n = 23257061396 and 23257061405.

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, 110222935 + ... + 110223145.

It is an arithmetic number, because the mean of its divisors is an integer number (259520436).

Almost surely, 2^23257061440 is an apocalyptic number.

23257061440 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 23257061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29066288832).

23257061440 is an abundant number, since it is smaller than the sum of its proper divisors (34875516224).

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

23257061440 is a wasteful number, since it uses less digits than its factorization.

23257061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 23257061440 in words is "twenty-three billion, two hundred fifty-seven million, sixty-one thousand, four hundred forty".