11253014040 has 256 divisors, whose sum is σ = 36254822400. Its totient is φ = 2787840000.

The previous prime is 11253014033. The next prime is 11253014041. The reversal of 11253014040 is 4041035211.

It is a junction number, because it is equal to n+sod(n) for n = 11253013998 and 11253014016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11253014041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14983665 + ... + 14984415.

It is an arithmetic number, because the mean of its divisors is an integer number (141620400).

Almost surely, 2^11253014040 is an apocalyptic number.

11253014040 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 11253014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127411200).

11253014040 is an abundant number, since it is smaller than the sum of its proper divisors (25001808360).

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

11253014040 is a wasteful number, since it uses less digits than its factorization.

11253014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11253014040 its reverse (4041035211), we get a palindrome (15294049251).

The spelling of 11253014040 in words is "eleven billion, two hundred fifty-three million, fourteen thousand, forty".