4001220040000 has 280 divisors, whose sum is σ = 10066407693408. Its totient is φ = 1577299200000.

The previous prime is 4001220039953. The next prime is 4001220040009. The reversal of 4001220040000 is 400221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001220040009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 917077819 + ... + 917082181.

Almost surely, 2^{4001220040000} is an apocalyptic number.

4001220040000 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 4001220040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033203846704).

4001220040000 is an abundant number, since it is smaller than the sum of its proper divisors (6065187653408).

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

4001220040000 is a wasteful number, since it uses less digits than its factorization.

4001220040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 4001220040000 its reverse (400221004), we get a palindrome (4001620261004).

The spelling of 4001220040000 in words is "four trillion, one billion, two hundred twenty million, forty thousand".