10338261240 has 128 divisors (see below), whose sum is σ = 31818124800. Its totient is φ = 2685795840.

The previous prime is 10338261239. The next prime is 10338261251. The reversal of 10338261240 is 4216283301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10338261198 and 10338261207.

It is a congruent number.

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, 2169981 + ... + 2174739.

It is an arithmetic number, because the mean of its divisors is an integer number (248579100).

Almost surely, 2^10338261240 is an apocalyptic number.

10338261240 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 10338261240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909062400).

10338261240 is an abundant number, since it is smaller than the sum of its proper divisors (21479863560).

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

10338261240 is a wasteful number, since it uses less digits than its factorization.

10338261240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10338261240 in words is "ten billion, three hundred thirty-eight million, two hundred sixty-one thousand, two hundred forty".