4022012041400 has 96 divisors (see below), whose sum is σ = 9447491393280. Its totient is φ = 1592247360000.

The previous prime is 4022012041367. The next prime is 4022012041409. The reversal of 4022012041400 is 41402102204.

It is a super-2 number, since 2×4022012041400² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022012041409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52906217 + ... + 52982183.

It is an arithmetic number, because the mean of its divisors is an integer number (98411368680).

Almost surely, 2^{4022012041400} is an apocalyptic number.

4022012041400 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 4022012041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723745696640).

4022012041400 is an abundant number, since it is smaller than the sum of its proper divisors (5425479351880).

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

4022012041400 is a wasteful number, since it uses less digits than its factorization.

4022012041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78705 (or 78696 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4022012041400 its reverse (41402102204), we get a palindrome (4063414143604).

The spelling of 4022012041400 in words is "four trillion, twenty-two billion, twelve million, forty-one thousand, four hundred".