100000400000 has 288 divisors, whose sum is σ = 256647050100. Its totient is φ = 38804480000.

The previous prime is 100000399997. The next prime is 100000400009. The reversal of 100000400000 is 4000001.

It can be written as a sum of positive squares in 18 ways, for example, as 77555566144 + 22444833856 = 278488^2 + 149816^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000400009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1123599956 + ... + 1123600044.

Almost surely, 2^100000400000 is an apocalyptic number.

100000400000 is a gapful number since it is divisible by the number (10) 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 100000400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128323525050).

100000400000 is an abundant number, since it is smaller than the sum of its proper divisors (156646650100).

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

100000400000 is an frugal number, since it uses more digits than its factorization.

100000400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 149 counting only the distinct ones).

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

Adding to 100000400000 its reverse (4000001), we get a palindrome (100004400001).

It can be divided in two parts, 100000 and 400000, that multiplied together give a square (40000000000 = 200000²).

The spelling of 100000400000 in words is "one hundred billion, four hundred thousand".