11435434000 has 80 divisors (see below), whose sum is σ = 27726819120. Its totient is φ = 4561612800.

The previous prime is 11435433967. The next prime is 11435434007. The reversal of 11435434000 is 43453411.

It can be written as a sum of positive squares in 8 ways, for example, as 6131516416 + 5303917584 = 78304^2 + 72828^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11435434007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 738336 + ... + 753664.

It is an arithmetic number, because the mean of its divisors is an integer number (346585239).

Almost surely, 2^11435434000 is an apocalyptic number.

11435434000 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 11435434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863409560).

11435434000 is an abundant number, since it is smaller than the sum of its proper divisors (16291385120).

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

11435434000 is a wasteful number, since it uses less digits than its factorization.

11435434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15725 (or 15709 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 11435434000 its reverse (43453411), we get a palindrome (11478887411).

The spelling of 11435434000 in words is "eleven billion, four hundred thirty-five million, four hundred thirty-four thousand".