4022012023400 has 288 divisors, whose sum is σ = 10987634246400. Its totient is φ = 1341033408000.

The previous prime is 4022012023399. The next prime is 4022012023423. The reversal of 4022012023400 is 43202102204.

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 71 ways as a sum of consecutive naturals, for example, 496479350 + ... + 496487450.

It is an arithmetic number, because the mean of its divisors is an integer number (38151507800).

Almost surely, 2^{4022012023400} is an apocalyptic number.

4022012023400 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 4022012023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493817123200).

4022012023400 is an abundant number, since it is smaller than the sum of its proper divisors (6965622223000).

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

4022012023400 is a wasteful number, since it uses less digits than its factorization.

4022012023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337 (or 8261 counting only the distinct ones).

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

Adding to 4022012023400 its reverse (43202102204), we get a palindrome (4065214125604).

The spelling of 4022012023400 in words is "four trillion, twenty-two billion, twelve million, twenty-three thousand, four hundred".