32134123440 has 160 divisors (see below), whose sum is σ = 112560652800. Its totient is φ = 8423827200.

The previous prime is 32134123433. The next prime is 32134123487. The reversal of 32134123440 is 4432143123.

32134123440 is a `hidden beast` number, since 3 + 213 + 4 + 1 + 2 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365 + ... + 253515.

It is an arithmetic number, because the mean of its divisors is an integer number (703504080).

Almost surely, 2^32134123440 is an apocalyptic number.

32134123440 is a gapful number since it is divisible by the number (30) 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 32134123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56280326400).

32134123440 is an abundant number, since it is smaller than the sum of its proper divisors (80426529360).

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

32134123440 is a wasteful number, since it uses less digits than its factorization.

32134123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252232 (or 252220 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32134123440 its reverse (4432143123), we get a palindrome (36566266563).

The spelling of 32134123440 in words is "thirty-two billion, one hundred thirty-four million, one hundred twenty-three thousand, four hundred forty".