401004110041220 has 192 divisors, whose sum is σ = 1025036353152000. Its totient is φ = 131472512962560.

The previous prime is 401004110041217. The next prime is 401004110041319. The reversal of 401004110041220 is 22140011400104.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 401004110041192 and 401004110041201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 564655316 + ... + 565365044.

It is an arithmetic number, because the mean of its divisors is an integer number (5338731006000).

Almost surely, 2^{401004110041220} 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 401004110041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512518176576000).

401004110041220 is an abundant number, since it is smaller than the sum of its proper divisors (624032243110780).

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

401004110041220 is a wasteful number, since it uses less digits than its factorization.

401004110041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713363 (or 713347 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 401004110041220 its reverse (22140011400104), we get a palindrome (423144121441324).

The spelling of 401004110041220 in words is "four hundred one trillion, four billion, one hundred ten million, forty-one thousand, two hundred twenty".