10841290240 has 240 divisors, whose sum is σ = 29519360640. Its totient is φ = 3811737600.

The previous prime is 10841290223. The next prime is 10841290249. The reversal of 10841290240 is 4209214801.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10841290249) 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, 9601996 + ... + 9603124.

It is an arithmetic number, because the mean of its divisors is an integer number (122997336).

Almost surely, 2^10841290240 is an apocalyptic number.

10841290240 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 10841290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14759680320).

10841290240 is an abundant number, since it is smaller than the sum of its proper divisors (18678070400).

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

10841290240 is a wasteful number, since it uses less digits than its factorization.

10841290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 10841290240 in words is "ten billion, eight hundred forty-one million, two hundred ninety thousand, two hundred forty".