11432641024 has 160 divisors (see below), whose sum is σ = 26852031360. Its totient is φ = 4761649152.

The previous prime is 11432641019. The next prime is 11432641061. The reversal of 11432641024 is 42014623411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11432640983 and 11432641001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26403112 + ... + 26403544.

It is an arithmetic number, because the mean of its divisors is an integer number (167825196).

Almost surely, 2^11432641024 is an apocalyptic number.

11432641024 is a gapful number since it is divisible by the number (14) 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 11432641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426015680).

11432641024 is an abundant number, since it is smaller than the sum of its proper divisors (15419390336).

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

11432641024 is an equidigital number, since it uses as much as digits as its factorization.

11432641024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 11432641024 in words is "eleven billion, four hundred thirty-two million, six hundred forty-one thousand, twenty-four".