4209142480704 has 560 divisors, whose sum is σ = 15114778601472. Its totient is φ = 1130648813568.

The previous prime is 4209142480703. The next prime is 4209142480709. The reversal of 4209142480704 is 4070842419024.

4209142480704 is a `hidden beast` number, since 4 + 20 + 9 + 142 + 480 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4209142480704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4209142480703) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 670562814 + ... + 670569090.

Almost surely, 2^{4209142480704} 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 4209142480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557389300736).

4209142480704 is an abundant number, since it is smaller than the sum of its proper divisors (10905636120768).

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

4209142480704 is a wasteful number, since it uses less digits than its factorization.

4209142480704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

Adding to 4209142480704 its reverse (4070842419024), we get a palindrome (8279984899728).

The spelling of 4209142480704 in words is "four trillion, two hundred nine billion, one hundred forty-two million, four hundred eighty thousand, seven hundred four".