420327014400 has 1080 divisors, whose sum is σ = 1615036672704. Its totient is φ = 108291686400.

The previous prime is 420327014383. The next prime is 420327014461. The reversal of 420327014400 is 4410723024.

420327014400 is a `hidden beast` number, since 420 + 32 + 70 + 144 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

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, 4080844749 + ... + 4080844851.

Almost surely, 2^420327014400 is an apocalyptic number.

420327014400 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 420327014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807518336352).

420327014400 is an abundant number, since it is smaller than the sum of its proper divisors (1194709658304).

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

420327014400 is an equidigital number, since it uses as much as digits as its factorization.

420327014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 420327014400 its reverse (4410723024), we get a palindrome (424737737424).

The spelling of 420327014400 in words is "four hundred twenty billion, three hundred twenty-seven million, fourteen thousand, four hundred".