32142122144400 has 480 divisors, whose sum is σ = 105963237061632. Its totient is φ = 8324834918400.

The previous prime is 32142122144393. The next prime is 32142122144417. The reversal of 32142122144400 is 444122124123.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7122116544 + ... + 7122121056.

Almost surely, 2^{32142122144400} is an apocalyptic number.

32142122144400 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 32142122144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52981618530816).

32142122144400 is an abundant number, since it is smaller than the sum of its proper divisors (73821114917232).

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

32142122144400 is a wasteful number, since it uses less digits than its factorization.

32142122144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 32142122144400 its reverse (444122124123), we get a palindrome (32586244268523).

The spelling of 32142122144400 in words is "thirty-two trillion, one hundred forty-two billion, one hundred twenty-two million, one hundred forty-four thousand, four hundred".