4120402344000 has 448 divisors, whose sum is σ = 14209749665280. Its totient is φ = 1050066124800.

The previous prime is 4120402343989. The next prime is 4120402344029. The reversal of 4120402344000 is 4432040214.

It is a happy number.

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

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, 791013396 + ... + 791018604.

Almost surely, 2^{4120402344000} is an apocalyptic number.

4120402344000 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 4120402344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7104874832640).

4120402344000 is an abundant number, since it is smaller than the sum of its proper divisors (10089347321280).

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

4120402344000 is a wasteful number, since it uses less digits than its factorization.

4120402344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6695 (or 6675 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4120402344000 its reverse (4432040214), we get a palindrome (4124834384214).

The spelling of 4120402344000 in words is "four trillion, one hundred twenty billion, four hundred two million, three hundred forty-four thousand".