101181468155040 has 1440 divisors, whose sum is σ = 443642324590080. Its totient is φ = 21264282943488.

The previous prime is 101181468155003. The next prime is 101181468155063. The reversal of 101181468155040 is 40551864181101.

101181468155040 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 8 + 14 + 6 + 81 + 550 + 4 + 0 = 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3940228921 + ... + 3940254599.

It is an arithmetic number, because the mean of its divisors is an integer number (308084947632).

Almost surely, 2^{101181468155040} is an apocalyptic number.

101181468155040 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 101181468155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221821162295040).

101181468155040 is an abundant number, since it is smaller than the sum of its proper divisors (342460856435040).

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

101181468155040 is a wasteful number, since it uses less digits than its factorization.

101181468155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25996 (or 25966 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 101181468155040 in words is "one hundred one trillion, one hundred eighty-one billion, four hundred sixty-eight million, one hundred fifty-five thousand, forty".