11111230455040 has 288 divisors, whose sum is σ = 27721082511360. Its totient is φ = 4261937971200.

The previous prime is 11111230455019. The next prime is 11111230455053. The reversal of 11111230455040 is 4055403211111.

It is a happy number.

It is a super-2 number, since 2×11111230455040² (a number of 27 digits) contains 22 as substring.

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, 8373194857 + ... + 8373196183.

It is an arithmetic number, because the mean of its divisors is an integer number (96253758720).

Almost surely, 2^{11111230455040} is an apocalyptic number.

11111230455040 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 11111230455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860541255680).

11111230455040 is an abundant number, since it is smaller than the sum of its proper divisors (16609852056320).

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

11111230455040 is a wasteful number, since it uses less digits than its factorization.

11111230455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 11111230455040 its reverse (4055403211111), we get a palindrome (15166633666151).

The spelling of 11111230455040 in words is "eleven trillion, one hundred eleven billion, two hundred thirty million, four hundred fifty-five thousand, forty".