4001613736800 has 144 divisors (see below), whose sum is σ = 13045389541632. Its totient is φ = 1065447283200.

The previous prime is 4001613736751. The next prime is 4001613736817. The reversal of 4001613736800 is 86373161004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264285 + ... + 2841315.

It is an arithmetic number, because the mean of its divisors is an integer number (90592982928).

Almost surely, 2^{4001613736800} is an apocalyptic number.

4001613736800 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 4001613736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522694770816).

4001613736800 is an abundant number, since it is smaller than the sum of its proper divisors (9043775804832).

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

4001613736800 is a wasteful number, since it uses less digits than its factorization.

4001613736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577701 (or 2577688 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

Adding to 4001613736800 its reverse (86373161004), we get a palindrome (4087986897804).

The spelling of 4001613736800 in words is "four trillion, one billion, six hundred thirteen million, seven hundred thirty-six thousand, eight hundred".