4172267520000 has 540 divisors, whose sum is σ = 15064304395140. Its totient is φ = 1112408064000.

The previous prime is 4172267519989. The next prime is 4172267520007. The reversal of 4172267520000 is 257622714.

It is a happy number.

4172267520000 is a `hidden beast` number, since 4 + 1 + 72 + 2 + 67 + 520 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4172267520007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 737277171 + ... + 737282829.

It is an arithmetic number, because the mean of its divisors is an integer number (27896859991).

Almost surely, 2^{4172267520000} is an apocalyptic number.

4172267520000 is a gapful number since it is divisible by the number (40) 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 4172267520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7532152197570).

4172267520000 is an abundant number, since it is smaller than the sum of its proper divisors (10892036875140).

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

4172267520000 is an frugal number, since it uses more digits than its factorization.

4172267520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 4172267520000 in words is "four trillion, one hundred seventy-two billion, two hundred sixty-seven million, five hundred twenty thousand".