4142224390400 has 54 divisors (see below), whose sum is σ = 10252652604642. Its totient is φ = 1656889753600.

The previous prime is 4142224390397. The next prime is 4142224390417. The reversal of 4142224390400 is 40934222414.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 179003455744 + 3963220934656 = 423088^2 + 1990784^2 .

It is a super-2 number, since 2×4142224390400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 323604881 + ... + 323617680.

It is an arithmetic number, because the mean of its divisors is an integer number (189863937123).

Almost surely, 2^{4142224390400} is an apocalyptic number.

4142224390400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142224390400 is an abundant number, since it is smaller than the sum of its proper divisors (6110428214242).

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

4142224390400 is an equidigital number, since it uses as much as digits as its factorization.

4142224390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647222587 (or 647222568 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 4142224390400 in words is "four trillion, one hundred forty-two billion, two hundred twenty-four million, three hundred ninety thousand, four hundred".