401350948404736 has 240 divisors, whose sum is σ = 890675815130640. Its totient is φ = 180526487961600.

The previous prime is 401350948404713. The next prime is 401350948404737. The reversal of 401350948404736 is 637404849053104.

It is a happy number.

It is a super-2 number, since 2×401350948404736² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401350948404737) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5314390656 + ... + 5314466176.

It is an arithmetic number, because the mean of its divisors is an integer number (3711149229711).

Almost surely, 2^{401350948404736} 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 401350948404736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445337907565320).

401350948404736 is an abundant number, since it is smaller than the sum of its proper divisors (489324866725904).

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

401350948404736 is a wasteful number, since it uses less digits than its factorization.

401350948404736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76457 (or 76430 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 58.

The spelling of 401350948404736 in words is "four hundred one trillion, three hundred fifty billion, nine hundred forty-eight million, four hundred four thousand, seven hundred thirty-six".