401194515456 has 352 divisors, whose sum is σ = 1366119982080. Its totient is φ = 113931436032.

The previous prime is 401194515439. The next prime is 401194515457. The reversal of 401194515456 is 654515491104.

401194515456 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 94 + 515 + 45 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401194515457) 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 31 ways as a sum of consecutive naturals, for example, 32314306 + ... + 32326718.

Almost surely, 2^401194515456 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 401194515456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683059991040).

401194515456 is an abundant number, since it is smaller than the sum of its proper divisors (964925466624).

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

401194515456 is a wasteful number, since it uses less digits than its factorization.

401194515456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616 (or 12592 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 401194515456 in words is "four hundred one billion, one hundred ninety-four million, five hundred fifteen thousand, four hundred fifty-six".