420404040512400 has 960 divisors, whose sum is σ = 1593917097062400. Its totient is φ = 92714156236800.

The previous prime is 420404040512389. The next prime is 420404040512587. The reversal of 420404040512400 is 4215040404024.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29221098007 + ... + 29221112393.

It is an arithmetic number, because the mean of its divisors is an integer number (1660330309440).

Almost surely, 2^{420404040512400} is an apocalyptic number.

420404040512400 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 420404040512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796958548531200).

420404040512400 is an abundant number, since it is smaller than the sum of its proper divisors (1173513056550000).

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

420404040512400 is a wasteful number, since it uses less digits than its factorization.

420404040512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15232 (or 15221 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 420404040512400 its reverse (4215040404024), we get a palindrome (424619080916424).

The spelling of 420404040512400 in words is "four hundred twenty trillion, four hundred four billion, forty million, five hundred twelve thousand, four hundred".