401011776 has 336 divisors, whose sum is σ = 1384889280. Its totient is φ = 112803840.

The previous prime is 401011687. The next prime is 401011783. The reversal of 401011776 is 677110104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5493276 + ... + 5493348.

Almost surely, 2^401011776 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 401011776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692444640).

401011776 is an abundant number, since it is smaller than the sum of its proper divisors (983877504).

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

401011776 is a wasteful number, since it uses less digits than its factorization.

401011776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 401011776 is about 20025.2784250307. The cubic root of 401011776 is about 737.4270124456.

The spelling of 401011776 in words is "four hundred one million, eleven thousand, seven hundred seventy-six".