1421222400 has 540 divisors, whose sum is σ = 5582946798. Its totient is φ = 345047040.

The previous prime is 1421222353. The next prime is 1421222437. The reversal of 1421222400 is 42221241.

1421222400 is a `hidden beast` number, since 1 + 42 + 1 + 222 + 400 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 15872256 + 1405350144 = 3984^2 + 37488^2 .

It is a super-2 number, since 2×1421222400² = 4039746220523520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19468764 + ... + 19468836.

Almost surely, 2^1421222400 is an apocalyptic number.

1421222400 is a gapful number since it is divisible by the number (10) 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 1421222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791473399).

1421222400 is an abundant number, since it is smaller than the sum of its proper divisors (4161724398).

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

1421222400 is a wasteful number, since it uses less digits than its factorization.

1421222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1421222400 is about 37699.1034376151. The cubic root of 1421222400 is about 1124.3132994414.

Adding to 1421222400 its reverse (42221241), we get a palindrome (1463443641).

The spelling of 1421222400 in words is "one billion, four hundred twenty-one million, two hundred twenty-two thousand, four hundred".