20172441875040 has 1152 divisors, whose sum is σ = 87314289334272. Its totient is φ = 4127306711040.

The previous prime is 20172441875021. The next prime is 20172441875051. The reversal of 20172441875040 is 4057814427102.

20172441875040 is a `hidden beast` number, since 2 + 0 + 1 + 7 + 24 + 41 + 87 + 504 + 0 = 666.

It is a super-2 number, since 2×20172441875040² (a number of 27 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 897219639 + ... + 897242121.

It is an arithmetic number, because the mean of its divisors is an integer number (75793653936).

Almost surely, 2^{20172441875040} is an apocalyptic number.

20172441875040 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 20172441875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43657144667136).

20172441875040 is an abundant number, since it is smaller than the sum of its proper divisors (67141847459232).

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

20172441875040 is a wasteful number, since it uses less digits than its factorization.

20172441875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22732 (or 22721 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 20172441875040 in words is "twenty trillion, one hundred seventy-two billion, four hundred forty-one million, eight hundred seventy-five thousand, forty".