101665481423040 has 672 divisors, whose sum is σ = 357474388976640. Its totient is φ = 26513600053248.

The previous prime is 101665481422961. The next prime is 101665481423111. The reversal of 101665481423040 is 40324184566101.

101665481423040 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 65 + 481 + 42 + 30 + 40 = 666.

It is a super-2 number, since 2×101665481423040² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16002748504 + ... + 16002754856.

Almost surely, 2^{101665481423040} is an apocalyptic number.

101665481423040 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 101665481423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178737194488320).

101665481423040 is an abundant number, since it is smaller than the sum of its proper divisors (255808907553600).

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

101665481423040 is a wasteful number, since it uses less digits than its factorization.

101665481423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 101665481423040 in words is "one hundred one trillion, six hundred sixty-five billion, four hundred eighty-one million, four hundred twenty-three thousand, forty".