401140300301312 has 704 divisors, whose sum is σ = 962384152262400. Its totient is φ = 164732464005120.

The previous prime is 401140300301281. The next prime is 401140300301341. The reversal of 401140300301312 is 213103003041104.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766998661883 + ... + 766998662405.

Almost surely, 2^{401140300301312} 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 401140300301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481192076131200).

401140300301312 is an abundant number, since it is smaller than the sum of its proper divisors (561243851961088).

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

401140300301312 is a wasteful number, since it uses less digits than its factorization.

401140300301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 401140300301312 its reverse (213103003041104), we get a palindrome (614243303342416).

The spelling of 401140300301312 in words is "four hundred one trillion, one hundred forty billion, three hundred million, three hundred one thousand, three hundred twelve".