401145013512 has 192 divisors, whose sum is σ = 1199352960000. Its totient is φ = 120558886272.

The previous prime is 401145013471. The next prime is 401145013519. The reversal of 401145013512 is 215310541104.

401145013512 is a `hidden beast` number, since 4 + 0 + 1 + 145 + 0 + 1 + 3 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (401145013519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6229303 + ... + 6293369.

It is an arithmetic number, because the mean of its divisors is an integer number (6246630000).

Almost surely, 2^401145013512 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 401145013512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599676480000).

401145013512 is an abundant number, since it is smaller than the sum of its proper divisors (798207946488).

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

401145013512 is a wasteful number, since it uses less digits than its factorization.

401145013512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64320 (or 64313 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 401145013512 its reverse (215310541104), we get a palindrome (616455554616).

The spelling of 401145013512 in words is "four hundred one billion, one hundred forty-five million, thirteen thousand, five hundred twelve".