4041442132240 has 160 divisors (see below), whose sum is σ = 9813121920000. Its totient is φ = 1546113761280.

The previous prime is 4041442132223. The next prime is 4041442132241. The reversal of 4041442132240 is 422312441404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (4041442132241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772296664 + ... + 772301896.

It is an arithmetic number, because the mean of its divisors is an integer number (61332012000).

Almost surely, 2^{4041442132240} is an apocalyptic number.

4041442132240 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 4041442132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906560960000).

4041442132240 is an abundant number, since it is smaller than the sum of its proper divisors (5771679787760).

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

4041442132240 is a wasteful number, since it uses less digits than its factorization.

4041442132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865 (or 8859 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 4041442132240 its reverse (422312441404), we get a palindrome (4463754573644).

The spelling of 4041442132240 in words is "four trillion, forty-one billion, four hundred forty-two million, one hundred thirty-two thousand, two hundred forty".