4021343123400 has 480 divisors, whose sum is σ = 14176045521000. Its totient is φ = 1056376442880.

The previous prime is 4021343123393. The next prime is 4021343123401. The reversal of 4021343123400 is 43213431204.

4021343123400 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 3 + 4 + 312 + 340 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 196087781124 + 3825255342276 = 442818^2 + 1955826^2 .

It is a super-2 number, since 2×4021343123400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4021343123401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 399373566 + ... + 399383634.

Almost surely, 2^{4021343123400} is an apocalyptic number.

4021343123400 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 4021343123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088022760500).

4021343123400 is an abundant number, since it is smaller than the sum of its proper divisors (10154702397600).

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

4021343123400 is a wasteful number, since it uses less digits than its factorization.

4021343123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10463 (or 10445 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4021343123400 its reverse (43213431204), we get a palindrome (4064556554604).

The spelling of 4021343123400 in words is "four trillion, twenty-one billion, three hundred forty-three million, one hundred twenty-three thousand, four hundred".