8172541440 has 960 divisors, whose sum is σ = 35826278400. Its totient is φ = 1755758592.

The previous prime is 8172541423. The next prime is 8172541451. The reversal of 8172541440 is 441452718.

It is a happy number.

8172541440 is a `hidden beast` number, since 8 + 1 + 72 + 541 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8172541395 and 8172541404.

It is a congruent number.

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, 64350657 + ... + 64350783.

It is an arithmetic number, because the mean of its divisors is an integer number (37319040).

Almost surely, 2^8172541440 is an apocalyptic number.

8172541440 is a gapful number since it is divisible by the number (80) 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 8172541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17913139200).

8172541440 is an abundant number, since it is smaller than the sum of its proper divisors (27653736960).

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

8172541440 is a wasteful number, since it uses less digits than its factorization.

8172541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8172541440 is about 90402.1097098956. The cubic root of 8172541440 is about 2014.2763044248.

The spelling of 8172541440 in words is "eight billion, one hundred seventy-two million, five hundred forty-one thousand, four hundred forty".