4137848272656 has 480 divisors, whose sum is σ = 14736844781568. Its totient is φ = 1097018173440.

The previous prime is 4137848272637. The next prime is 4137848272661. The reversal of 4137848272656 is 6562728487314.

4137848272656 is a `hidden beast` number, since 4 + 1 + 37 + 8 + 482 + 72 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4137848272593 and 4137848272602.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32786731 + ... + 32912693.

Almost surely, 2^{4137848272656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4137848272656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368422390784).

4137848272656 is an abundant number, since it is smaller than the sum of its proper divisors (10598996508912).

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

4137848272656 is a wasteful number, since it uses less digits than its factorization.

4137848272656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126081 (or 126063 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 4137848272656 in words is "four trillion, one hundred thirty-seven billion, eight hundred forty-eight million, two hundred seventy-two thousand, six hundred fifty-six".