4023014200920 has 1024 divisors, whose sum is σ = 16026783897600. Its totient is φ = 884833320960.

The previous prime is 4023014200901. The next prime is 4023014200921. The reversal of 4023014200920 is 290024103204.

4023014200920 is a `hidden beast` number, since 4 + 0 + 230 + 1 + 420 + 0 + 9 + 2 + 0 = 666.

It is a super-3 number, since 3×4023014200920³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023014200921) 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, 2263935072 + ... + 2263936848.

It is an arithmetic number, because the mean of its divisors is an integer number (15651156150).

Almost surely, 2^{4023014200920} is an apocalyptic number.

4023014200920 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 4023014200920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013391948800).

4023014200920 is an abundant number, since it is smaller than the sum of its proper divisors (12003769696680).

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

4023014200920 is a wasteful number, since it uses less digits than its factorization.

4023014200920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 4023014200920 in words is "four trillion, twenty-three billion, fourteen million, two hundred thousand, nine hundred twenty".