11249190400 has 240 divisors, whose sum is σ = 32051948544. Its totient is φ = 3832750080.

The previous prime is 11249190391. The next prime is 11249190409. The reversal of 11249190400 is 409194211.

It is an interprime number because it is at equal distance from previous prime (11249190391) and next prime (11249190409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11249190409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19980519 + ... + 19981081.

Almost surely, 2^11249190400 is an apocalyptic number.

11249190400 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 11249190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16025974272).

11249190400 is an abundant number, since it is smaller than the sum of its proper divisors (20802758144).

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

11249190400 is an equidigital number, since it uses as much as digits as its factorization.

11249190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 11249190400 in words is "eleven billion, two hundred forty-nine million, one hundred ninety thousand, four hundred".