100661471740440 has 384 divisors, whose sum is σ = 360556900704000. Its totient is φ = 24198723634176.

The previous prime is 100661471740429. The next prime is 100661471740463. The reversal of 100661471740440 is 44047174166001.

100661471740440 is a `hidden beast` number, since 1 + 0 + 0 + 66 + 14 + 71 + 74 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1718359071 + ... + 1718417649.

It is an arithmetic number, because the mean of its divisors is an integer number (938950262250).

Almost surely, 2^{100661471740440} is an apocalyptic number.

100661471740440 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 100661471740440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180278450352000).

100661471740440 is an abundant number, since it is smaller than the sum of its proper divisors (259895428963560).

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

100661471740440 is a wasteful number, since it uses less digits than its factorization.

100661471740440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67191 (or 67184 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 100661471740440 in words is "one hundred trillion, six hundred sixty-one billion, four hundred seventy-one million, seven hundred forty thousand, four hundred forty".