32040434880 has 168 divisors, whose sum is σ = 110606354352. Its totient is φ = 8513058816.

The previous prime is 32040434873. The next prime is 32040434911. The reversal of 32040434880 is 8843404023.

It is a super-2 number, since 2×32040434880² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 777679 + ... + 817841.

Almost surely, 2^32040434880 is an apocalyptic number.

32040434880 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 32040434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55303177176).

32040434880 is an abundant number, since it is smaller than the sum of its proper divisors (78565919472).

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

32040434880 is a wasteful number, since it uses less digits than its factorization.

32040434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40463 (or 40450 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 32040434880 in words is "thirty-two billion, forty million, four hundred thirty-four thousand, eight hundred eighty".