4132342401000 has 256 divisors, whose sum is σ = 14142718437120. Its totient is φ = 996243840000.

The previous prime is 4132342400987. The next prime is 4132342401029. The reversal of 4132342401000 is 1042432314.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5627082 + ... + 6318918.

It is an arithmetic number, because the mean of its divisors is an integer number (55244993895).

Almost surely, 2^{4132342401000} is an apocalyptic number.

4132342401000 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 4132342401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071359218560).

4132342401000 is an abundant number, since it is smaller than the sum of its proper divisors (10010376036120).

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

4132342401000 is a wasteful number, since it uses less digits than its factorization.

4132342401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692053 (or 692039 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4132342401000 its reverse (1042432314), we get a palindrome (4133384833314).

The spelling of 4132342401000 in words is "four trillion, one hundred thirty-two billion, three hundred forty-two million, four hundred one thousand".