421443041414400 has 162 divisors, whose sum is σ = 1506753990615510. Its totient is φ = 112384811028480.

The previous prime is 421443041414393. The next prime is 421443041414407. The reversal of 421443041414400 is 4414140344124.

421443041414400 is a `hidden beast` number, since 4 + 2 + 1 + 44 + 30 + 4 + 141 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (421443041414393) and next prime (421443041414407).

It can be written as a sum of positive squares in 3 ways, for example, as 19344937330944 + 402098104083456 = 4398288^2 + 20052384^2 .

It is a super-2 number, since 2×421443041414400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421443041414407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3658302135 + ... + 3658417334.

It is an arithmetic number, because the mean of its divisors is an integer number (9300950559355).

Almost surely, 2^{421443041414400} is an apocalyptic number.

421443041414400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421443041414400 is an abundant number, since it is smaller than the sum of its proper divisors (1085310949201110).

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

421443041414400 is a wasteful number, since it uses less digits than its factorization.

421443041414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316719501 (or 7316719479 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 421443041414400 its reverse (4414140344124), we get a palindrome (425857181758524).

The spelling of 421443041414400 in words is "four hundred twenty-one trillion, four hundred forty-three billion, forty-one million, four hundred fourteen thousand, four hundred".