100525550041440 has 144 divisors (see below), whose sum is σ = 343275076400256. Its totient is φ = 26788712294400.

The previous prime is 100525550041337. The next prime is 100525550041459. The reversal of 100525550041440 is 44140055525001.

100525550041440 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 5 + 5 + 500 + 4 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×100525550041440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100525550041395 and 100525550041404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21435696 + ... + 25700975.

It is an arithmetic number, because the mean of its divisors is an integer number (2383854697224).

Almost surely, 2^{100525550041440} is an apocalyptic number.

100525550041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100525550041440 is an abundant number, since it is smaller than the sum of its proper divisors (242749526358816).

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

100525550041440 is a wasteful number, since it uses less digits than its factorization.

100525550041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47138173 (or 47138162 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 100525550041440 in words is "one hundred trillion, five hundred twenty-five billion, five hundred fifty million, forty-one thousand, four hundred forty".