11269419840 has 840 divisors, whose sum is σ = 49191611040. Its totient is φ = 2435069952.

The previous prime is 11269419823. The next prime is 11269419851. The reversal of 11269419840 is 4891496211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 24131287 + ... + 24131753.

Almost surely, 2^11269419840 is an apocalyptic number.

11269419840 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 11269419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24595805520).

11269419840 is an abundant number, since it is smaller than the sum of its proper divisors (37922191200).

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

11269419840 is a wasteful number, since it uses less digits than its factorization.

11269419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11269419840 in words is "eleven billion, two hundred sixty-nine million, four hundred nineteen thousand, eight hundred forty".