100412003440 has 240 divisors, whose sum is σ = 284117654592. Its totient is φ = 32844607488.

The previous prime is 100412003431. The next prime is 100412003543. The reversal of 100412003440 is 44300214001.

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, 41201902 + ... + 41204338.

Almost surely, 2^100412003440 is an apocalyptic number.

100412003440 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 100412003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142058827296).

100412003440 is an abundant number, since it is smaller than the sum of its proper divisors (183705651152).

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

100412003440 is a wasteful number, since it uses less digits than its factorization.

100412003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 100412003440 its reverse (44300214001), we get a palindrome (144712217441).

The spelling of 100412003440 in words is "one hundred billion, four hundred twelve million, three thousand, four hundred forty".