32097911040 has 288 divisors, whose sum is σ = 122666490240. Its totient is φ = 7900913664.

The previous prime is 32097911017. The next prime is 32097911059. The reversal of 32097911040 is 4011979023.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 32097910986 and 32097911004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413559 + ... + 485001.

Almost surely, 2^32097911040 is an apocalyptic number.

32097911040 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 32097911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61333245120).

32097911040 is an abundant number, since it is smaller than the sum of its proper divisors (90568579200).

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

32097911040 is a wasteful number, since it uses less digits than its factorization.

32097911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71486 (or 71466 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 32097911040 in words is "thirty-two billion, ninety-seven million, nine hundred eleven thousand, forty".