11909406432 has 192 divisors, whose sum is σ = 39096981504. Its totient is φ = 3083773440.

The previous prime is 11909406427. The next prime is 11909406433. The reversal of 11909406432 is 23460490911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11909406433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2562703 + ... + 2567345.

It is an arithmetic number, because the mean of its divisors is an integer number (203630112).

Almost surely, 2^11909406432 is an apocalyptic number.

11909406432 is a gapful number since it is divisible by the number (12) 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 11909406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19548490752).

11909406432 is an abundant number, since it is smaller than the sum of its proper divisors (27187575072).

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

11909406432 is a wasteful number, since it uses less digits than its factorization.

11909406432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 11909406432 in words is "eleven billion, nine hundred nine million, four hundred six thousand, four hundred thirty-two".