4201644623904 has 1536 divisors, whose sum is σ = 16801024665600. Its totient is φ = 989913415680.

The previous prime is 4201644623899. The next prime is 4201644623909. The reversal of 4201644623904 is 4093264461024.

4201644623904 is a `hidden beast` number, since 4 + 2 + 0 + 16 + 4 + 4 + 623 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4201644623899) and next prime (4201644623909).

It is a self number, because there is not a number n which added to its sum of digits gives 4201644623904.

It is not an unprimeable number, because it can be changed into a prime (4201644623909) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2364458664 + ... + 2364460440.

It is an arithmetic number, because the mean of its divisors is an integer number (10938167100).

Almost surely, 2^{4201644623904} 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 4201644623904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400512332800).

4201644623904 is an abundant number, since it is smaller than the sum of its proper divisors (12599380041696).

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

4201644623904 is a wasteful number, since it uses less digits than its factorization.

4201644623904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4201644623904 in words is "four trillion, two hundred one billion, six hundred forty-four million, six hundred twenty-three thousand, nine hundred four".