11241415240320 has 256 divisors, whose sum is σ = 36753892560000. Its totient is φ = 2920776990720.

The previous prime is 11241415240283. The next prime is 11241415240337. The reversal of 11241415240320 is 2304251414211.

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

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, 60442831 + ... + 60628529.

Almost surely, 2^{11241415240320} is an apocalyptic number.

11241415240320 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 11241415240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376946280000).

11241415240320 is an abundant number, since it is smaller than the sum of its proper divisors (25512477319680).

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

11241415240320 is a wasteful number, since it uses less digits than its factorization.

11241415240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186531 (or 186519 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 11241415240320 its reverse (2304251414211), we get a palindrome (13545666654531).

The spelling of 11241415240320 in words is "eleven trillion, two hundred forty-one billion, four hundred fifteen million, two hundred forty thousand, three hundred twenty".