4148272300032 has 798 divisors, whose sum is σ = 14502640347828. Its totient is φ = 1182545215488.

The previous prime is 4148272300021. The next prime is 4148272300087. The reversal of 4148272300032 is 2300032728414.

It is a happy number.

4148272300032 is a `hidden beast` number, since 41 + 48 + 272 + 300 + 0 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4148272300032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9364045603 + ... + 9364046045.

Almost surely, 2^{4148272300032} is an apocalyptic number.

4148272300032 is a gapful number since it is divisible by the number (42) 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 4148272300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251320173914).

4148272300032 is an abundant number, since it is smaller than the sum of its proper divisors (10354368047796).

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

4148272300032 is an frugal number, since it uses more digits than its factorization.

4148272300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 4148272300032 in words is "four trillion, one hundred forty-eight billion, two hundred seventy-two million, three hundred thousand, thirty-two".