401155840 has 144 divisors (see below), whose sum is σ = 1013251680. Its totient is φ = 151961600.

The previous prime is 401155837. The next prime is 401155879. The reversal of 401155840 is 48551104.

It is a super-2 number, since 2×401155840² = 321852015932211200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 401155799 and 401155808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3749067 + ... + 3749173.

It is an arithmetic number, because the mean of its divisors is an integer number (7036470).

Almost surely, 2^401155840 is an apocalyptic number.

401155840 is a gapful number since it is divisible by the number (40) 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 401155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506625840).

401155840 is an abundant number, since it is smaller than the sum of its proper divisors (612095840).

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

401155840 is a wasteful number, since it uses less digits than its factorization.

401155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 401155840 is about 20028.8751556347. The cubic root of 401155840 is about 737.5153090761.

The spelling of 401155840 in words is "four hundred one million, one hundred fifty-five thousand, eight hundred forty".