4149795944448 has 864 divisors, whose sum is σ = 15293350800000. Its totient is φ = 1071941713920.

The previous prime is 4149795944419. The next prime is 4149795944461. The reversal of 4149795944448 is 8444495979414.

It is a happy number.

4149795944448 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 7 + 95 + 94 + 4 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1977033703 + ... + 1977035801.

It is an arithmetic number, because the mean of its divisors is an integer number (17700637500).

Almost surely, 2^{4149795944448} is an apocalyptic number.

4149795944448 is a gapful number since it is divisible by the number (48) 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 4149795944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7646675400000).

4149795944448 is an abundant number, since it is smaller than the sum of its proper divisors (11143554855552).

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

4149795944448 is a wasteful number, since it uses less digits than its factorization.

4149795944448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2321 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 4149795944448 in words is "four trillion, one hundred forty-nine billion, seven hundred ninety-five million, nine hundred forty-four thousand, four hundred forty-eight".