11406441450 has 96 divisors (see below), whose sum is σ = 28631131776. Its totient is φ = 3004968960.

The previous prime is 11406441433. The next prime is 11406441461. The reversal of 11406441450 is 5414460411.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10397302 + ... + 10398398.

It is an arithmetic number, because the mean of its divisors is an integer number (298240956).

Almost surely, 2^11406441450 is an apocalyptic number.

11406441450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11406441450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315565888).

11406441450 is an abundant number, since it is smaller than the sum of its proper divisors (17224690326).

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

11406441450 is a wasteful number, since it uses less digits than its factorization.

11406441450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 11406441450 in words is "eleven billion, four hundred six million, four hundred forty-one thousand, four hundred fifty".