11082307440 has 160 divisors (see below), whose sum is σ = 35260600320. Its totient is φ = 2877815808.

The previous prime is 11082307409. The next prime is 11082307471. The reversal of 11082307440 is 4470328011.

It is an interprime number because it is at equal distance from previous prime (11082307409) and next prime (11082307471).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11082307398 and 11082307407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3847921 + ... + 3850799.

It is an arithmetic number, because the mean of its divisors is an integer number (220378752).

Almost surely, 2^11082307440 is an apocalyptic number.

11082307440 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 11082307440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17630300160).

11082307440 is an abundant number, since it is smaller than the sum of its proper divisors (24178292880).

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

11082307440 is a wasteful number, since it uses less digits than its factorization.

11082307440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 11082307440 in words is "eleven billion, eighty-two million, three hundred seven thousand, four hundred forty".