100400400440 has 32 divisors (see below), whose sum is σ = 225989477280. Its totient is φ = 40144413312.

The previous prime is 100400400431. The next prime is 100400400461. The reversal of 100400400440 is 44004004001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388532 + ... + 593091.

It is an arithmetic number, because the mean of its divisors is an integer number (7062171165).

Almost surely, 2^100400400440 is an apocalyptic number.

100400400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100400400440 is an abundant number, since it is smaller than the sum of its proper divisors (125589076840).

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

100400400440 is a wasteful number, since it uses less digits than its factorization.

100400400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984191 (or 984187 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 100400400440 its reverse (44004004001), we get a palindrome (144404404441).

The spelling of 100400400440 in words is "one hundred billion, four hundred million, four hundred thousand, four hundred forty".