401091111552 has 128 divisors (see below), whose sum is σ = 1072360598400. Its totient is φ = 132824862720.

The previous prime is 401091111541. The next prime is 401091111559. The reversal of 401091111552 is 255111190104.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (401091111559) 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 15 ways as a sum of consecutive naturals, for example, 88754349 + ... + 88758867.

It is an arithmetic number, because the mean of its divisors is an integer number (8377817175).

Almost surely, 2^401091111552 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 401091111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536180299200).

401091111552 is an abundant number, since it is smaller than the sum of its proper divisors (671269486848).

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

401091111552 is a wasteful number, since it uses less digits than its factorization.

401091111552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 30.

The spelling of 401091111552 in words is "four hundred one billion, ninety-one million, one hundred eleven thousand, five hundred fifty-two".