3200332441440 has 96 divisors (see below), whose sum is σ = 10117441283040. Its totient is φ = 850341003264.

The previous prime is 3200332441417. The next prime is 3200332441477. The reversal of 3200332441440 is 441442330023.

It is a happy number.

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

It is a super-2 number, since 2×3200332441440² (a number of 26 digits) contains 22 as substring.

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 = 3200332441398 and 3200332441407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11901985 + ... + 12167904.

It is an arithmetic number, because the mean of its divisors is an integer number (105390013365).

Almost surely, 2^{3200332441440} is an apocalyptic number.

3200332441440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3200332441440 is an abundant number, since it is smaller than the sum of its proper divisors (6917108841600).

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

3200332441440 is a wasteful number, since it uses less digits than its factorization.

3200332441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24070184 (or 24070176 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3200332441440 its reverse (441442330023), we get a palindrome (3641774771463).

The spelling of 3200332441440 in words is "three trillion, two hundred billion, three hundred thirty-two million, four hundred forty-one thousand, four hundred forty".