101572208481440 has 192 divisors, whose sum is σ = 249360179927040. Its totient is φ = 39055723499520.

The previous prime is 101572208481433. The next prime is 101572208481547. The reversal of 101572208481440 is 44184802275101.

It is a super-2 number, since 2×101572208481440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2751199301 + ... + 2751236219.

It is an arithmetic number, because the mean of its divisors is an integer number (1298750937120).

Almost surely, 2^{101572208481440} is an apocalyptic number.

101572208481440 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 101572208481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124680089963520).

101572208481440 is an abundant number, since it is smaller than the sum of its proper divisors (147787971445600).

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

101572208481440 is a wasteful number, since it uses less digits than its factorization.

101572208481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40655 (or 40647 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 47.

The spelling of 101572208481440 in words is "one hundred one trillion, five hundred seventy-two billion, two hundred eight million, four hundred eighty-one thousand, four hundred forty".