42203462400 has 648 divisors, whose sum is σ = 170769528384. Its totient is φ = 10226995200.

The previous prime is 42203462383. The next prime is 42203462443. The reversal of 42203462400 is 426430224.

42203462400 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 34 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×42203462400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17105967 + ... + 17108433.

Almost surely, 2^42203462400 is an apocalyptic number.

42203462400 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 42203462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85384764192).

42203462400 is an abundant number, since it is smaller than the sum of its proper divisors (128566065984).

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

42203462400 is a wasteful number, since it uses less digits than its factorization.

42203462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42203462400 its reverse (426430224), we get a palindrome (42629892624).

The spelling of 42203462400 in words is "forty-two billion, two hundred three million, four hundred sixty-two thousand, four hundred".