400430404212120 has 256 divisors, whose sum is σ = 1394176420915200. Its totient is φ = 102037935352320.

The previous prime is 400430404212119. The next prime is 400430404212121. The reversal of 400430404212120 is 21212404034004.

400430404212120 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 30 + 404 + 212 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (400430404212119) and next prime (400430404212121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400430404212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17206165 + ... + 33119675.

It is an arithmetic number, because the mean of its divisors is an integer number (5446001644200).

Almost surely, 2^{400430404212120} is an apocalyptic number.

400430404212120 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 400430404212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697088210457600).

400430404212120 is an abundant number, since it is smaller than the sum of its proper divisors (993746016703080).

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

400430404212120 is a wasteful number, since it uses less digits than its factorization.

400430404212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15914567 (or 15914557 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 400430404212120 its reverse (21212404034004), we get a palindrome (421642808246124).

The spelling of 400430404212120 in words is "four hundred trillion, four hundred thirty billion, four hundred four million, two hundred twelve thousand, one hundred twenty".