101285173440 has 560 divisors, whose sum is σ = 403707563424. Its totient is φ = 23887872000.

The previous prime is 101285173427. The next prime is 101285173441. The reversal of 101285173440 is 44371582101.

101285173440 is a `hidden beast` number, since 10 + 128 + 517 + 3 + 4 + 4 + 0 = 666.

101285173440 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 = 101285173395 and 101285173404.

It is not an unprimeable number, because it can be changed into a prime (101285173441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10544640 + ... + 10554240.

Almost surely, 2^101285173440 is an apocalyptic number.

101285173440 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 101285173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201853781712).

101285173440 is an abundant number, since it is smaller than the sum of its proper divisors (302422389984).

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

101285173440 is a wasteful number, since it uses less digits than its factorization.

101285173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9678 (or 9659 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 101285173440 in words is "one hundred one billion, two hundred eighty-five million, one hundred seventy-three thousand, four hundred forty".