4332142405400 has 384 divisors, whose sum is σ = 11056920526080. Its totient is φ = 1572073144320.

The previous prime is 4332142405373. The next prime is 4332142405411. The reversal of 4332142405400 is 45042412334.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7305467504 + ... + 7305468096.

It is an arithmetic number, because the mean of its divisors is an integer number (28794063870).

Almost surely, 2^{4332142405400} is an apocalyptic number.

4332142405400 is a gapful number since it is divisible by the number (40) 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 4332142405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528460263040).

4332142405400 is an abundant number, since it is smaller than the sum of its proper divisors (6724778120680).

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

4332142405400 is a wasteful number, since it uses less digits than its factorization.

4332142405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 4332142405400 its reverse (45042412334), we get a palindrome (4377184817734).

The spelling of 4332142405400 in words is "four trillion, three hundred thirty-two billion, one hundred forty-two million, four hundred five thousand, four hundred".