401221440123240 has 384 divisors, whose sum is σ = 1413258738756480. Its totient is φ = 90734153072640.

The previous prime is 401221440123239. The next prime is 401221440123463. The reversal of 401221440123240 is 42321044122104.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 401221440123198 and 401221440123207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20700747 + ... + 35085093.

It is an arithmetic number, because the mean of its divisors is an integer number (3680361298845).

Almost surely, 2^{401221440123240} is an apocalyptic number.

401221440123240 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 401221440123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706629369378240).

401221440123240 is an abundant number, since it is smaller than the sum of its proper divisors (1012037298633240).

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

401221440123240 is a wasteful number, since it uses less digits than its factorization.

401221440123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14384513 (or 14384498 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 401221440123240 its reverse (42321044122104), we get a palindrome (443542484245344).

The spelling of 401221440123240 in words is "four hundred one trillion, two hundred twenty-one billion, four hundred forty million, one hundred twenty-three thousand, two hundred forty".