400100000000 has 162 divisors, whose sum is σ = 998545387182. Its totient is φ = 160000000000.

The previous prime is 400099999969. The next prime is 400100000051. The reversal of 400100000000 is 1004.

It can be written as a sum of positive squares in 9 ways, for example, as 39254704384 + 360845295616 = 198128^2 + 600704^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 400100000000.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99998000 + ... + 100002000.

Almost surely, 2^400100000000 is an apocalyptic number.

400100000000 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 400100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499272693591).

400100000000 is an abundant number, since it is smaller than the sum of its proper divisors (598445387182).

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

400100000000 is an frugal number, since it uses more digits than its factorization.

400100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 400100000000 its reverse (1004), we get a palindrome (400100001004).

The spelling of 400100000000 in words is "four hundred billion, one hundred million", and thus it is an aban number.