420511314400 has 72 divisors (see below), whose sum is σ = 1031784664680. Its totient is φ = 167350632960.

The previous prime is 420511314359. The next prime is 420511314409. The reversal of 420511314400 is 4413115024.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420511314409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1176510 + ... + 1491709.

It is an arithmetic number, because the mean of its divisors is an integer number (14330342565).

Almost surely, 2^420511314400 is an apocalyptic number.

420511314400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420511314400 is an abundant number, since it is smaller than the sum of its proper divisors (611273350280).

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

420511314400 is a wasteful number, since it uses less digits than its factorization.

420511314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668436 (or 2668423 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 420511314400 its reverse (4413115024), we get a palindrome (424924429424).

The spelling of 420511314400 in words is "four hundred twenty billion, five hundred eleven million, three hundred fourteen thousand, four hundred".