400312202040 has 192 divisors, whose sum is σ = 1351228170240. Its totient is φ = 102672126720.

The previous prime is 400312202039. The next prime is 400312202051. The reversal of 400312202040 is 40202213004.

400312202040 is a `hidden beast` number, since 400 + 3 + 1 + 220 + 2 + 0 + 40 = 666.

It is a super-2 number, since 2×400312202040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1709049 + ... + 1929111.

It is an arithmetic number, because the mean of its divisors is an integer number (7037646720).

Almost surely, 2^400312202040 is an apocalyptic number.

400312202040 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 400312202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675614085120).

400312202040 is an abundant number, since it is smaller than the sum of its proper divisors (950915968200).

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

400312202040 is a wasteful number, since it uses less digits than its factorization.

400312202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220274 (or 220267 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 400312202040 its reverse (40202213004), we get a palindrome (440514415044).

The spelling of 400312202040 in words is "four hundred billion, three hundred twelve million, two hundred two thousand, forty".