32232541440 has 216 divisors, whose sum is σ = 113153501664. Its totient is φ = 7813836800.

The previous prime is 32232541421. The next prime is 32232541477. The reversal of 32232541440 is 4414523223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32232541398 and 32232541407.

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 23 ways as a sum of consecutive naturals, for example, 429955 + ... + 499325.

It is an arithmetic number, because the mean of its divisors is an integer number (523858804).

Almost surely, 2^32232541440 is an apocalyptic number.

32232541440 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 32232541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56576750832).

32232541440 is an abundant number, since it is smaller than the sum of its proper divisors (80920960224).

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

32232541440 is a wasteful number, since it uses less digits than its factorization.

32232541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69417 (or 69392 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 32232541440 in words is "thirty-two billion, two hundred thirty-two million, five hundred forty-one thousand, four hundred forty".