23400030420 has 144 divisors (see below), whose sum is σ = 76624893072. Its totient is φ = 5746083840.

The previous prime is 23400030413. The next prime is 23400030461. The reversal of 23400030420 is 2403000432.

23400030420 is a `hidden beast` number, since 2 + 340 + 0 + 0 + 304 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5667379524 + 17732650896 = 75282^2 + 133164^2 .

It is a super-2 number, since 2×23400030420² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

23400030420 is a modest number, since divided by 30420 gives 23400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 23400030393 and 23400030402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973264 + ... + 997016.

It is an arithmetic number, because the mean of its divisors is an integer number (532117313).

Almost surely, 2^23400030420 is an apocalyptic number.

23400030420 is a gapful number since it is divisible by the number (20) 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 23400030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38312446536).

23400030420 is an abundant number, since it is smaller than the sum of its proper divisors (53224862652).

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

23400030420 is a wasteful number, since it uses less digits than its factorization.

23400030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24202 (or 24197 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 23400030420 its reverse (2403000432), we get a palindrome (25803030852).

The spelling of 23400030420 in words is "twenty-three billion, four hundred million, thirty thousand, four hundred twenty".