4132442013420 has 192 divisors, whose sum is σ = 13548458391552. Its totient is φ = 921376512000.

The previous prime is 4132442013407. The next prime is 4132442013437. The reversal of 4132442013420 is 243102442314.

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 63 ways as a sum of consecutive naturals, for example, 141551025 + ... + 141580215.

It is an arithmetic number, because the mean of its divisors is an integer number (70564887456).

Almost surely, 2^{4132442013420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132442013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774229195776).

4132442013420 is an abundant number, since it is smaller than the sum of its proper divisors (9416016378132).

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

4132442013420 is a wasteful number, since it uses less digits than its factorization.

4132442013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37472 (or 37470 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4132442013420 its reverse (243102442314), we get a palindrome (4375544455734).

The spelling of 4132442013420 in words is "four trillion, one hundred thirty-two billion, four hundred forty-two million, thirteen thousand, four hundred twenty".