11540034241000 has 64 divisors (see below), whose sum is σ = 27006711226560. Its totient is φ = 4615495560000.

The previous prime is 11540034240997. The next prime is 11540034241019. The reversal of 11540034241000 is 14243004511.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 8327815 + ... + 9614185.

It is an arithmetic number, because the mean of its divisors is an integer number (421979862915).

Almost surely, 2^{11540034241000} is an apocalyptic number.

11540034241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11540034241000 is an abundant number, since it is smaller than the sum of its proper divisors (15466676985560).

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

11540034241000 is a wasteful number, since it uses less digits than its factorization.

11540034241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295363 (or 1295349 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 11540034241000 its reverse (14243004511), we get a palindrome (11554277245511).

The spelling of 11540034241000 in words is "eleven trillion, five hundred forty billion, thirty-four million, two hundred forty-one thousand".