101622321667440 has 480 divisors, whose sum is σ = 395990404992000. Its totient is φ = 22875443712000.

The previous prime is 101622321667387. The next prime is 101622321667453. The reversal of 101622321667440 is 44766123226101.

101622321667440 is a `hidden beast` number, since 1 + 0 + 1 + 622 + 3 + 2 + 16 + 6 + 7 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×101622321667440² (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 a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 112137261 + ... + 113039859.

It is an arithmetic number, because the mean of its divisors is an integer number (824980010400).

Almost surely, 2^{101622321667440} is an apocalyptic number.

101622321667440 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 101622321667440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197995202496000).

101622321667440 is an abundant number, since it is smaller than the sum of its proper divisors (294368083324560).

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

101622321667440 is a wasteful number, since it uses less digits than its factorization.

101622321667440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902965 (or 902956 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 101622321667440 in words is "one hundred one trillion, six hundred twenty-two billion, three hundred twenty-one million, six hundred sixty-seven thousand, four hundred forty".