100042441223440 has 40 divisors (see below), whose sum is σ = 232621533065880. Its totient is φ = 40013044064256.

The previous prime is 100042441223423. The next prime is 100042441223503. The reversal of 100042441223440 is 44322144240001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47397607006464 + 52644834216976 = 6884592^2 + 7255676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 60624895 + ... + 62253214.

It is an arithmetic number, because the mean of its divisors is an integer number (5815538326647).

Almost surely, 2^{100042441223440} is an apocalyptic number.

100042441223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100042441223440 is an abundant number, since it is smaller than the sum of its proper divisors (132579091842440).

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

100042441223440 is a wasteful number, since it uses less digits than its factorization.

100042441223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122888299 (or 122888293 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 100042441223440 its reverse (44322144240001), we get a palindrome (144364585463441).

The spelling of 100042441223440 in words is "one hundred trillion, forty-two billion, four hundred forty-one million, two hundred twenty-three thousand, four hundred forty".