11241526240 has 96 divisors (see below), whose sum is σ = 30652945344. Its totient is φ = 3816038400.

The previous prime is 11241526183. The next prime is 11241526259. The reversal of 11241526240 is 4262514211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11241526199 and 11241526208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63432 + ... + 162808.

It is an arithmetic number, because the mean of its divisors is an integer number (319301514).

Almost surely, 2^11241526240 is an apocalyptic number.

11241526240 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 11241526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326472672).

11241526240 is an abundant number, since it is smaller than the sum of its proper divisors (19411419104).

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

11241526240 is a wasteful number, since it uses less digits than its factorization.

11241526240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99500 (or 99492 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 11241526240 in words is "eleven billion, two hundred forty-one million, five hundred twenty-six thousand, two hundred forty".