4047899831136 has 768 divisors, whose sum is σ = 14384679321600. Its totient is φ = 1082410407936.

The previous prime is 4047899831081. The next prime is 4047899831137. The reversal of 4047899831136 is 6311389987404.

4047899831136 is a `hidden beast` number, since 40 + 478 + 9 + 9 + 8 + 3 + 113 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4047899831137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4563584485 + ... + 4563585371.

It is an arithmetic number, because the mean of its divisors is an integer number (18730051200).

Almost surely, 2^{4047899831136} is an apocalyptic number.

4047899831136 is a gapful number since it is divisible by the number (46) 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 4047899831136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7192339660800).

4047899831136 is an abundant number, since it is smaller than the sum of its proper divisors (10336779490464).

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

4047899831136 is a wasteful number, since it uses less digits than its factorization.

4047899831136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 4047899831136 in words is "four trillion, forty-seven billion, eight hundred ninety-nine million, eight hundred thirty-one thousand, one hundred thirty-six".