4022012010400 has 72 divisors (see below), whose sum is σ = 9819504222444. Its totient is φ = 1608679065600.

The previous prime is 4022012010383. The next prime is 4022012010403. The reversal of 4022012010400 is 40102102204.

4022012010400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1603576472976 + 2418435537424 = 1266324^2 + 1555132^2 .

It is a super-2 number, since 2×4022012010400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4022012010403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10402954 + ... + 10782646.

Almost surely, 2^{4022012010400} is an apocalyptic number.

4022012010400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022012010400 is an abundant number, since it is smaller than the sum of its proper divisors (5797492212044).

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

4022012010400 is a wasteful number, since it uses less digits than its factorization.

4022012010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392954 (or 392941 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 4022012010400 its reverse (40102102204), we get a palindrome (4062114112604).

The spelling of 4022012010400 in words is "four trillion, twenty-two billion, twelve million, ten thousand, four hundred".