101185044480 has 1440 divisors, whose sum is σ = 432813798144. Its totient is φ = 22422749184.

The previous prime is 101185044469. The next prime is 101185044487. The reversal of 101185044480 is 84440581101.

101185044480 is a `hidden beast` number, since 10 + 118 + 50 + 4 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101185044487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4399349749 + ... + 4399349771.

Almost surely, 2^101185044480 is an apocalyptic number.

101185044480 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 101185044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216406899072).

101185044480 is an abundant number, since it is smaller than the sum of its proper divisors (331628753664).

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

101185044480 is an equidigital number, since it uses as much as digits as its factorization.

101185044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 101185044480 in words is "one hundred one billion, one hundred eighty-five million, forty-four thousand, four hundred eighty".