4477615414272 has 2816 divisors, whose sum is σ = 19523168501760. Its totient is φ = 974625177600.

The previous prime is 4477615414213. The next prime is 4477615414273. The reversal of 4477615414272 is 2724145167744.

4477615414272 is a `hidden beast` number, since 4 + 4 + 7 + 7 + 615 + 4 + 14 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4477615414273) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14585066343 + ... + 14585066649.

It is an arithmetic number, because the mean of its divisors is an integer number (6932943360).

Almost surely, 2^{4477615414272} is an apocalyptic number.

4477615414272 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 4477615414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761584250880).

4477615414272 is an abundant number, since it is smaller than the sum of its proper divisors (15045553087488).

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

4477615414272 is a wasteful number, since it uses less digits than its factorization.

4477615414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 391 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 54.

The spelling of 4477615414272 in words is "four trillion, four hundred seventy-seven billion, six hundred fifteen million, four hundred fourteen thousand, two hundred seventy-two".