401121412354520 has 192 divisors, whose sum is σ = 1076368697056800. Its totient is φ = 132632559544320.

The previous prime is 401121412354501. The next prime is 401121412354549. The reversal of 401121412354520 is 25453214121104.

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, 17866196 + ... + 33487964.

Almost surely, 2^{401121412354520} is an apocalyptic number.

401121412354520 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 401121412354520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538184348528400).

401121412354520 is an abundant number, since it is smaller than the sum of its proper divisors (675247284702280).

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

401121412354520 is a wasteful number, since it uses less digits than its factorization.

401121412354520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15621938 (or 15621867 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 401121412354520 its reverse (25453214121104), we get a palindrome (426574626475624).

The spelling of 401121412354520 in words is "four hundred one trillion, one hundred twenty-one billion, four hundred twelve million, three hundred fifty-four thousand, five hundred twenty".