401345294336 has 208 divisors, whose sum is σ = 973295247360. Its totient is φ = 161641267200.

The previous prime is 401345294333. The next prime is 401345294351. The reversal of 401345294336 is 633492543104.

It is a super-2 number, since 2×401345294336² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401345294333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69182636 + ... + 69188436.

Almost surely, 2^401345294336 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 401345294336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486647623680).

401345294336 is an abundant number, since it is smaller than the sum of its proper divisors (571949953024).

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

401345294336 is a wasteful number, since it uses less digits than its factorization.

401345294336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 44.

The spelling of 401345294336 in words is "four hundred one billion, three hundred forty-five million, two hundred ninety-four thousand, three hundred thirty-six".