42353414400 has 432 divisors, whose sum is σ = 159129815040. Its totient is φ = 9819955200.

The previous prime is 42353414359. The next prime is 42353414413. The reversal of 42353414400 is 441435324.

It is a super-2 number, since 2×42353414400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4853241 + ... + 4861959.

Almost surely, 2^42353414400 is an apocalyptic number.

42353414400 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 42353414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79564907520).

42353414400 is an abundant number, since it is smaller than the sum of its proper divisors (116776400640).

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

42353414400 is a wasteful number, since it uses less digits than its factorization.

42353414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8782 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 42353414400 its reverse (441435324), we get a palindrome (42794849724).

The spelling of 42353414400 in words is "forty-two billion, three hundred fifty-three million, four hundred fourteen thousand, four hundred".