401154422222320 has 320 divisors, whose sum is σ = 1073760306192000. Its totient is φ = 138144519290880.

The previous prime is 401154422222299. The next prime is 401154422222383. The reversal of 401154422222320 is 23222224451104.

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, 780124656 + ... + 780638704.

It is an arithmetic number, because the mean of its divisors is an integer number (3355500956850).

Almost surely, 2^{401154422222320} is an apocalyptic number.

401154422222320 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 401154422222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536880153096000).

401154422222320 is an abundant number, since it is smaller than the sum of its proper divisors (672605883969680).

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

401154422222320 is a wasteful number, since it uses less digits than its factorization.

401154422222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514708 (or 514702 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 401154422222320 its reverse (23222224451104), we get a palindrome (424376646673424).

The spelling of 401154422222320 in words is "four hundred one trillion, one hundred fifty-four billion, four hundred twenty-two million, two hundred twenty-two thousand, three hundred twenty".