1032142321400 has 192 divisors, whose sum is σ = 2603679202080. Its totient is φ = 378995097600.

The previous prime is 1032142321393. The next prime is 1032142321459. The reversal of 1032142321400 is 41232412301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111253562 + ... + 111262838.

Almost surely, 2^{1032142321400} is an apocalyptic number.

1032142321400 is a gapful number since it is divisible by the number (10) 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 1032142321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301839601040).

1032142321400 is an abundant number, since it is smaller than the sum of its proper divisors (1571536880680).

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

1032142321400 is a wasteful number, since it uses less digits than its factorization.

1032142321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10114 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1032142321400 its reverse (41232412301), we get a palindrome (1073374733701).

Subtracting from 1032142321400 its reverse (41232412301), we obtain a palindrome (990909909099).

The spelling of 1032142321400 in words is "one trillion, thirty-two billion, one hundred forty-two million, three hundred twenty-one thousand, four hundred".