420423131400 has 192 divisors, whose sum is σ = 1310385772800. Its totient is φ = 111505551360.

The previous prime is 420423131399. The next prime is 420423131419. The reversal of 420423131400 is 4131324024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173942992 + ... + 173945408.

It is an arithmetic number, because the mean of its divisors is an integer number (6824925900).

Almost surely, 2^420423131400 is an apocalyptic number.

420423131400 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 420423131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655192886400).

420423131400 is an abundant number, since it is smaller than the sum of its proper divisors (889962641400).

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

420423131400 is a wasteful number, since it uses less digits than its factorization.

420423131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 420423131400 its reverse (4131324024), we get a palindrome (424554455424).

The spelling of 420423131400 in words is "four hundred twenty billion, four hundred twenty-three million, one hundred thirty-one thousand, four hundred".