32142224400000 has 1536 divisors, whose sum is σ = 127012470681600. Its totient is φ = 7098624000000.

The previous prime is 32142224399951. The next prime is 32142224400071. The reversal of 32142224400000 is 442224123.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13556398815 + ... + 13556401185.

It is an arithmetic number, because the mean of its divisors is an integer number (82690410600).

Almost surely, 2^{32142224400000} is an apocalyptic number.

32142224400000 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 32142224400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63506235340800).

32142224400000 is an abundant number, since it is smaller than the sum of its proper divisors (94870246281600).

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

32142224400000 is a wasteful number, since it uses less digits than its factorization.

32142224400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 32142224400000 its reverse (442224123), we get a palindrome (32142666624123).

The spelling of 32142224400000 in words is "thirty-two trillion, one hundred forty-two billion, two hundred twenty-four million, four hundred thousand".