420004330400 has 72 divisors (see below), whose sum is σ = 1025448679584. Its totient is φ = 167983200000.

The previous prime is 420004330391. The next prime is 420004330409. The reversal of 420004330400 is 4033400024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420004330391) and next prime (420004330409).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (420004330409) 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, 8977469 + ... + 9024131.

It is an arithmetic number, because the mean of its divisors is an integer number (14242342772).

Almost surely, 2^420004330400 is an apocalyptic number.

420004330400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420004330400 is an abundant number, since it is smaller than the sum of its proper divisors (605444349184).

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

420004330400 is a wasteful number, since it uses less digits than its factorization.

420004330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57934 (or 57921 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 420004330400 its reverse (4033400024), we get a palindrome (424037730424).

The spelling of 420004330400 in words is "four hundred twenty billion, four million, three hundred thirty thousand, four hundred".