401611776 has 88 divisors (see below), whose sum is σ = 1076885760. Its totient is φ = 133066752.

The previous prime is 401611753. The next prime is 401611781. The reversal of 401611776 is 677116104.

It is a super-2 number, since 2×401611776² = 322584037243748352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733935 + ... + 734481.

Almost surely, 2^401611776 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 401611776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538442880).

401611776 is an abundant number, since it is smaller than the sum of its proper divisors (675273984).

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

401611776 is a wasteful number, since it uses less digits than its factorization.

401611776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 401611776 is about 20040.2538906073. The cubic root of 401611776 is about 737.7946123909.

The spelling of 401611776 in words is "four hundred one million, six hundred eleven thousand, seven hundred seventy-six".