4148231996160 has 1296 divisors, whose sum is σ = 17700943932000. Its totient is φ = 917221294080.

The previous prime is 4148231996141. The next prime is 4148231996189. The reversal of 4148231996160 is 616991328414.

4148231996160 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 2 + 3 + 19 + 9 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4148231996097 and 4148231996106.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1627394566 + ... + 1627397114.

It is an arithmetic number, because the mean of its divisors is an integer number (13658135750).

Almost surely, 2^{4148231996160} is an apocalyptic number.

4148231996160 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 4148231996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8850471966000).

4148231996160 is an abundant number, since it is smaller than the sum of its proper divisors (13552711935840).

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

4148231996160 is a wasteful number, since it uses less digits than its factorization.

4148231996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 4148231996160 in words is "four trillion, one hundred forty-eight billion, two hundred thirty-one million, nine hundred ninety-six thousand, one hundred sixty".