401222242123344 has 240 divisors, whose sum is σ = 1165310101755072. Its totient is φ = 128763848005632.

The previous prime is 401222242123337. The next prime is 401222242123363. The reversal of 401222242123344 is 443321242222104.

401222242123344 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 222 + 421 + 2 + 3 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 401222242123299 and 401222242123308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502996252 + ... + 503793284.

Almost surely, 2^{401222242123344} 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 401222242123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582655050877536).

401222242123344 is an abundant number, since it is smaller than the sum of its proper divisors (764087859631728).

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

401222242123344 is a wasteful number, since it uses less digits than its factorization.

401222242123344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798074 (or 798065 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 401222242123344 its reverse (443321242222104), we get a palindrome (844543484345448).

The spelling of 401222242123344 in words is "four hundred one trillion, two hundred twenty-two billion, two hundred forty-two million, one hundred twenty-three thousand, three hundred forty-four".