401343445425312 has 288 divisors, whose sum is σ = 1234942221921408. Its totient is φ = 122906115790848.

The previous prime is 401343445425311. The next prime is 401343445425317. The reversal of 401343445425312 is 213524544343104.

It is a happy number.

401343445425312 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 4 + 3 + 44 + 542 + 53 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×401343445425312² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401343445425311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679806283 + ... + 680396405.

It is an arithmetic number, because the mean of its divisors is an integer number (4287993826116).

Almost surely, 2^{401343445425312} 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 401343445425312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617471110960704).

401343445425312 is an abundant number, since it is smaller than the sum of its proper divisors (833598776496096).

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

401343445425312 is a wasteful number, since it uses less digits than its factorization.

401343445425312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591012 (or 591001 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 401343445425312 its reverse (213524544343104), we get a palindrome (614867989768416).

The spelling of 401343445425312 in words is "four hundred one trillion, three hundred forty-three billion, four hundred forty-five million, four hundred twenty-five thousand, three hundred twelve".