400320034423120 has 240 divisors, whose sum is σ = 1117672228113408. Its totient is φ = 132819845437440.

The previous prime is 400320034423109. The next prime is 400320034423129. The reversal of 400320034423120 is 21324430023004.

It is a super-2 number, since 2×400320034423120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400320034423129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4202478532 + ... + 4202573788.

Almost surely, 2^{400320034423120} is an apocalyptic number.

400320034423120 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 400320034423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558836114056704).

400320034423120 is an abundant number, since it is smaller than the sum of its proper divisors (717352193690288).

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

400320034423120 is a wasteful number, since it uses less digits than its factorization.

400320034423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129898 (or 129885 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 400320034423120 its reverse (21324430023004), we get a palindrome (421644464446124).

The spelling of 400320034423120 in words is "four hundred trillion, three hundred twenty billion, thirty-four million, four hundred twenty-three thousand, one hundred twenty".