401096848896 has 640 divisors, whose sum is σ = 1311224112000. Its totient is φ = 120493965312.

The previous prime is 401096848847. The next prime is 401096848897. The reversal of 401096848896 is 698848690104.

401096848896 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 9 + 68 + 488 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401096848897) 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 63 ways as a sum of consecutive naturals, for example, 1560688000 + ... + 1560688256.

It is an arithmetic number, because the mean of its divisors is an integer number (2048787675).

Almost surely, 2^401096848896 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 401096848896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655612056000).

401096848896 is an abundant number, since it is smaller than the sum of its proper divisors (910127263104).

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

401096848896 is a wasteful number, since it uses less digits than its factorization.

401096848896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 401096848896 in words is "four hundred one billion, ninety-six million, eight hundred forty-eight thousand, eight hundred ninety-six".