10133258240 has 240 divisors, whose sum is σ = 28537173504. Its totient is φ = 3381657600.

The previous prime is 10133258197. The next prime is 10133258243. The reversal of 10133258240 is 4285233101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133258243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23510825 + ... + 23511255.

Almost surely, 2^10133258240 is an apocalyptic number.

10133258240 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 10133258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268586752).

10133258240 is an abundant number, since it is smaller than the sum of its proper divisors (18403915264).

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

10133258240 is an frugal number, since it uses more digits than its factorization.

10133258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 10133258240 in words is "ten billion, one hundred thirty-three million, two hundred fifty-eight thousand, two hundred forty".