32041410144 has 96 divisors (see below), whose sum is σ = 89509232736. Its totient is φ = 10001080320.

The previous prime is 32041410143. The next prime is 32041410151. The reversal of 32041410144 is 44101414023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×32041410144² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32041410143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271674 + ... + 371334.

It is an arithmetic number, because the mean of its divisors is an integer number (932387841).

Almost surely, 2^32041410144 is an apocalyptic number.

32041410144 is a gapful number since it is divisible by the number (34) 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 32041410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44754616368).

32041410144 is an abundant number, since it is smaller than the sum of its proper divisors (57467822592).

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

32041410144 is a wasteful number, since it uses less digits than its factorization.

32041410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99888 (or 99880 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 32041410144 its reverse (44101414023), we get a palindrome (76142824167).

The spelling of 32041410144 in words is "thirty-two billion, forty-one million, four hundred ten thousand, one hundred forty-four".