32200141133440 has 128 divisors (see below), whose sum is σ = 87987827128320. Its totient is φ = 11038487101440.

The previous prime is 32200141133429. The next prime is 32200141133473. The reversal of 32200141133440 is 4433114100223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 32200141133399 and 32200141133408.

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, 31397409 + ... + 32406751.

It is an arithmetic number, because the mean of its divisors is an integer number (687404899440).

Almost surely, 2^{32200141133440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32200141133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43993913564160).

32200141133440 is an abundant number, since it is smaller than the sum of its proper divisors (55787685994880).

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

32200141133440 is a wasteful number, since it uses less digits than its factorization.

32200141133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016490 (or 1016478 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 32200141133440 its reverse (4433114100223), we get a palindrome (36633255233663).

The spelling of 32200141133440 in words is "thirty-two trillion, two hundred billion, one hundred forty-one million, one hundred thirty-three thousand, four hundred forty".