100044124400040 has 128 divisors (see below), whose sum is σ = 323783204290560. Its totient is φ = 24635356688384.

The previous prime is 100044124400009. The next prime is 100044124400081. The reversal of 100044124400040 is 40004421440001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462545064 + ... + 462761303.

It is an arithmetic number, because the mean of its divisors is an integer number (2529556283520).

Almost surely, 2^{100044124400040} is an apocalyptic number.

100044124400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100044124400040 is an abundant number, since it is smaller than the sum of its proper divisors (223739079890520).

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

100044124400040 is a wasteful number, since it uses less digits than its factorization.

100044124400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925306451 (or 925306447 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 100044124400040 its reverse (40004421440001), we get a palindrome (140048545840041).

The spelling of 100044124400040 in words is "one hundred trillion, forty-four billion, one hundred twenty-four million, four hundred thousand, forty".