2172094525440 has 1248 divisors, whose sum is σ = 8840958077952. Its totient is φ = 483065856000.

The previous prime is 2172094525379. The next prime is 2172094525441. The reversal of 2172094525440 is 445254902712.

2172094525440 is a `hidden beast` number, since 2 + 1 + 72 + 0 + 94 + 52 + 5 + 440 = 666.

It is a super-4 number, since 4×2172094525440⁴ (a number of 50 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2172094525441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12000522150 + ... + 12000522330.

It is an arithmetic number, because the mean of its divisors is an integer number (7084101024).

Almost surely, 2^{2172094525440} is an apocalyptic number.

2172094525440 is a gapful number since it is divisible by the number (20) 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 2172094525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420479038976).

2172094525440 is an abundant number, since it is smaller than the sum of its proper divisors (6668863552512).

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

2172094525440 is a wasteful number, since it uses less digits than its factorization.

2172094525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2172094525440 in words is "two trillion, one hundred seventy-two billion, ninety-four million, five hundred twenty-five thousand, four hundred forty".