400242040 has 64 divisors (see below), whose sum is σ = 985944960. Its totient is φ = 145019520.

The previous prime is 400242013. The next prime is 400242047. The reversal of 400242040 is 40242004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400242047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133599 + ... + 136561.

It is an arithmetic number, because the mean of its divisors is an integer number (15405390).

Almost surely, 2^400242040 is an apocalyptic number.

400242040 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 400242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492972480).

400242040 is an abundant number, since it is smaller than the sum of its proper divisors (585702920).

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

400242040 is a wasteful number, since it uses less digits than its factorization.

400242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 400242040 is about 20006.0500849118. The cubic root of 400242040 is about 736.9548835934.

Adding to 400242040 its reverse (40242004), we get a palindrome (440484044).

The spelling of 400242040 in words is "four hundred million, two hundred forty-two thousand, forty".