400260040 has 64 divisors (see below), whose sum is σ = 937908720. Its totient is φ = 153600000.

The previous prime is 400259987. The next prime is 400260067. The reversal of 400260040 is 40062004.

It can be written as a sum of positive squares in 8 ways, for example, as 10355524 + 389904516 = 3218^2 + 19746^2 .

It is a junction number, because it is equal to n+sod(n) for n = 400259996 and 400260023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98040 + ... + 102040.

Almost surely, 2^400260040 is an apocalyptic number.

400260040 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 400260040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468954360).

400260040 is an abundant number, since it is smaller than the sum of its proper divisors (537648680).

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

400260040 is a wasteful number, since it uses less digits than its factorization.

400260040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400260040 is about 20006.4999437683. The cubic root of 400260040 is about 736.9659310661.

The spelling of 400260040 in words is "four hundred million, two hundred sixty thousand, forty".