11256314040 has 480 divisors, whose sum is σ = 41658954480. Its totient is φ = 2727696384.

The previous prime is 11256314033. The next prime is 11256314053. The reversal of 11256314040 is 4041365211.

It is a happy number.

11256314040 is a `hidden beast` number, since 1 + 1 + 25 + 631 + 4 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×11256314040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11256313995 and 11256314013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 388148746 + ... + 388148774.

Almost surely, 2^11256314040 is an apocalyptic number.

11256314040 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 11256314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20829477240).

11256314040 is an abundant number, since it is smaller than the sum of its proper divisors (30402640440).

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

11256314040 is an frugal number, since it uses more digits than its factorization.

11256314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11256314040 its reverse (4041365211), we get a palindrome (15297679251).

The spelling of 11256314040 in words is "eleven billion, two hundred fifty-six million, three hundred fourteen thousand, forty".