401010768 has 120 divisors (see below), whose sum is σ = 1155842688. Its totient is φ = 129724416.

The previous prime is 401010697. The next prime is 401010793. The reversal of 401010768 is 867010104.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1306071 + ... + 1306377.

Almost surely, 2^401010768 is an apocalyptic number.

401010768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401010768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577921344).

401010768 is an abundant number, since it is smaller than the sum of its proper divisors (754831920).

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

401010768 is a wasteful number, since it uses less digits than its factorization.

401010768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 401010768 is about 20025.2532568255. The cubic root of 401010768 is about 737.4263945693.

The spelling of 401010768 in words is "four hundred one million, ten thousand, seven hundred sixty-eight".