100040004000 has 216 divisors, whose sum is σ = 355255084548. Its totient is φ = 26661331200.

The previous prime is 100040003957. The next prime is 100040004013. The reversal of 100040004000 is 400040001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 67627042704 + 32412961296 = 260052^2 + 180036^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60011167 + ... + 60012833.

Almost surely, 2^100040004000 is an apocalyptic number.

100040004000 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 100040004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177627542274).

100040004000 is an abundant number, since it is smaller than the sum of its proper divisors (255215080548).

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

100040004000 is an frugal number, since it uses more digits than its factorization.

100040004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100040004000 its reverse (400040001), we get a palindrome (100440044001).

The spelling of 100040004000 in words is "one hundred billion, forty million, four thousand".