420434414400 has 2016 divisors, whose sum is σ = 1912279891968. Its totient is φ = 78498201600.

The previous prime is 420434414377. The next prime is 420434414497. The reversal of 420434414400 is 4414434024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3310507137 + ... + 3310507263.

Almost surely, 2^420434414400 is an apocalyptic number.

420434414400 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 420434414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956139945984).

420434414400 is an abundant number, since it is smaller than the sum of its proper divisors (1491845477568).

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

420434414400 is a wasteful number, since it uses less digits than its factorization.

420434414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 420434414400 its reverse (4414434024), we get a palindrome (424848848424).

The spelling of 420434414400 in words is "four hundred twenty billion, four hundred thirty-four million, four hundred fourteen thousand, four hundred".