11329475040 has 576 divisors, whose sum is σ = 44728407360. Its totient is φ = 2587852800.

The previous prime is 11329475023. The next prime is 11329475063. The reversal of 11329475040 is 4057492311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11329474986 and 11329475004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18850740 + ... + 18851340.

It is an arithmetic number, because the mean of its divisors is an integer number (77653485).

Almost surely, 2^11329475040 is an apocalyptic number.

11329475040 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 11329475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22364203680).

11329475040 is an abundant number, since it is smaller than the sum of its proper divisors (33398932320).

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

11329475040 is a wasteful number, since it uses less digits than its factorization.

11329475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11329475040 in words is "eleven billion, three hundred twenty-nine million, four hundred seventy-five thousand, forty".