4023003013040 has 320 divisors, whose sum is σ = 10817684766720. Its totient is φ = 1377102228480.

The previous prime is 4023003012991. The next prime is 4023003013049. The reversal of 4023003013040 is 403103003204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4023003013049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339803441 + ... + 339815279.

It is an arithmetic number, because the mean of its divisors is an integer number (33805264896).

Almost surely, 2^{4023003013040} is an apocalyptic number.

4023003013040 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 4023003013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408842383360).

4023003013040 is an abundant number, since it is smaller than the sum of its proper divisors (6794681753680).

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

4023003013040 is a wasteful number, since it uses less digits than its factorization.

4023003013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12152 (or 12146 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 4023003013040 its reverse (403103003204), we get a palindrome (4426106016244).

The spelling of 4023003013040 in words is "four trillion, twenty-three billion, three million, thirteen thousand, forty".