4022012023040 has 288 divisors, whose sum is σ = 10890446716800. Its totient is φ = 1409747189760.

The previous prime is 4022012023039. The next prime is 4022012023063. The reversal of 4022012023040 is 403202102204.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252742124 + ... + 252758036.

It is an arithmetic number, because the mean of its divisors is an integer number (37814051100).

Almost surely, 2^{4022012023040} is an apocalyptic number.

4022012023040 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 4022012023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445223358400).

4022012023040 is an abundant number, since it is smaller than the sum of its proper divisors (6868434693760).

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

4022012023040 is a wasteful number, since it uses less digits than its factorization.

4022012023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16593 (or 16579 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4022012023040 its reverse (403202102204), we get a palindrome (4425214125244).

The spelling of 4022012023040 in words is "four trillion, twenty-two billion, twelve million, twenty-three thousand, forty".