400011040 has 96 divisors (see below), whose sum is σ = 1110303936. Its totient is φ = 134261760.

The previous prime is 400010993. The next prime is 400011041. The reversal of 400011040 is 40110004.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (400011041) 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, 14139 + ... + 31621.

It is an arithmetic number, because the mean of its divisors is an integer number (11565666).

Almost surely, 2^400011040 is an apocalyptic number.

400011040 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 400011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555151968).

400011040 is an abundant number, since it is smaller than the sum of its proper divisors (710292896).

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

400011040 is a wasteful number, since it uses less digits than its factorization.

400011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17522 (or 17514 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 400011040 is about 20000.2759980956. The cubic root of 400011040 is about 736.8130782837.

Adding to 400011040 its reverse (40110004), we get a palindrome (440121044).

It can be divided in two parts, 40001 and 1040, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 400011040 in words is "four hundred million, eleven thousand, forty".