11400238080 has 1584 divisors, whose sum is σ = 55042618176. Its totient is φ = 2229534720.

The previous prime is 11400238049. The next prime is 11400238123. The reversal of 11400238080 is 8083200411.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 670602232 + ... + 670602248.

Almost surely, 2^11400238080 is an apocalyptic number.

11400238080 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 11400238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27521309088).

11400238080 is an abundant number, since it is smaller than the sum of its proper divisors (43642380096).

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

11400238080 is a wasteful number, since it uses less digits than its factorization.

11400238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11400238080 its reverse (8083200411), we get a palindrome (19483438491).

The spelling of 11400238080 in words is "eleven billion, four hundred million, two hundred thirty-eight thousand, eighty".