401908027976 has 256 divisors, whose sum is σ = 1010644992000. Its totient is φ = 145356456960.

The previous prime is 401908027973. The next prime is 401908027979. The reversal of 401908027976 is 679720809104.

It is an interprime number because it is at equal distance from previous prime (401908027973) and next prime (401908027979).

It is not an unprimeable number, because it can be changed into a prime (401908027973) by changing a digit.

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, 179662730 + ... + 179664966.

It is an arithmetic number, because the mean of its divisors is an integer number (3947832000).

Almost surely, 2^401908027976 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 401908027976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505322496000).

401908027976 is an abundant number, since it is smaller than the sum of its proper divisors (608736964024).

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

401908027976 is a wasteful number, since it uses less digits than its factorization.

401908027976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 53.

The spelling of 401908027976 in words is "four hundred one billion, nine hundred eight million, twenty-seven thousand, nine hundred seventy-six".