4035124240000 has 640 divisors, whose sum is σ = 12124046563200. Its totient is φ = 1306368000000.

The previous prime is 4035124239947. The next prime is 4035124240009. The reversal of 4035124240000 is 424215304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4035124240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5756239650 + ... + 5756240350.

It is an arithmetic number, because the mean of its divisors is an integer number (18943822755).

Almost surely, 2^{4035124240000} is an apocalyptic number.

4035124240000 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 4035124240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062023281600).

4035124240000 is an abundant number, since it is smaller than the sum of its proper divisors (8088922323200).

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

4035124240000 is an equidigital number, since it uses as much as digits as its factorization.

4035124240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 4035124240000 its reverse (424215304), we get a palindrome (4035548455304).

The spelling of 4035124240000 in words is "four trillion, thirty-five billion, one hundred twenty-four million, two hundred forty thousand".