100041134040 has 192 divisors, whose sum is σ = 327359672640. Its totient is φ = 26495631360.

The previous prime is 100041134027. The next prime is 100041134059. The reversal of 100041134040 is 40431140001.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 37565749 + ... + 37568411.

It is an arithmetic number, because the mean of its divisors is an integer number (1704998295).

Almost surely, 2^100041134040 is an apocalyptic number.

100041134040 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 100041134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163679836320).

100041134040 is an abundant number, since it is smaller than the sum of its proper divisors (227318538600).

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

100041134040 is a wasteful number, since it uses less digits than its factorization.

100041134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100041134040 its reverse (40431140001), we get a palindrome (140472274041).

The spelling of 100041134040 in words is "one hundred billion, forty-one million, one hundred thirty-four thousand, forty".