11249399040 has 576 divisors, whose sum is σ = 41367158784. Its totient is φ = 2601984000.

The previous prime is 11249399039. The next prime is 11249399041. The reversal of 11249399040 is 4099394211.

It is an interprime number because it is at equal distance from previous prime (11249399039) and next prime (11249399041).

It is a super-2 number, since 2×11249399040² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11249398983 and 11249399001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11249399041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158442205 + ... + 158442275.

It is an arithmetic number, because the mean of its divisors is an integer number (71817984).

Almost surely, 2^11249399040 is an apocalyptic number.

11249399040 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 11249399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20683579392).

11249399040 is an abundant number, since it is smaller than the sum of its proper divisors (30117759744).

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

11249399040 is an equidigital number, since it uses as much as digits as its factorization.

11249399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 11249399040 in words is "eleven billion, two hundred forty-nine million, three hundred ninety-nine thousand, forty".