400342120150224 has 320 divisors, whose sum is σ = 1204786328739840. Its totient is φ = 112198694400000.

The previous prime is 400342120150207. The next prime is 400342120150243. The reversal of 400342120150224 is 422051021243004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 400342120150191 and 400342120150200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2671740297 + ... + 2671890135.

It is an arithmetic number, because the mean of its divisors is an integer number (3764957277312).

Almost surely, 2^{400342120150224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400342120150224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602393164369920).

400342120150224 is an abundant number, since it is smaller than the sum of its proper divisors (804444208589616).

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

400342120150224 is a wasteful number, since it uses less digits than its factorization.

400342120150224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150690 (or 150684 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 400342120150224 its reverse (422051021243004), we get a palindrome (822393141393228).

The spelling of 400342120150224 in words is "four hundred trillion, three hundred forty-two billion, one hundred twenty million, one hundred fifty thousand, two hundred twenty-four".