11111302440 has 512 divisors, whose sum is σ = 44582400000. Its totient is φ = 2407781376.

The previous prime is 11111302421. The next prime is 11111302453. The reversal of 11111302440 is 4420311111.

11111302440 is a `hidden beast` number, since 111 + 113 + 0 + 2 + 440 = 666.

It is a super-2 number, since 2×11111302440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12934731 + ... + 12935589.

It is an arithmetic number, because the mean of its divisors is an integer number (87075000).

Almost surely, 2^11111302440 is an apocalyptic number.

11111302440 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 11111302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22291200000).

11111302440 is an abundant number, since it is smaller than the sum of its proper divisors (33471097560).

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

11111302440 is a wasteful number, since it uses less digits than its factorization.

11111302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11111302440 its reverse (4420311111), we get a palindrome (15531613551).

The spelling of 11111302440 in words is "eleven billion, one hundred eleven million, three hundred two thousand, four hundred forty".