4461949893120 has 640 divisors, whose sum is σ = 15502747189248. Its totient is φ = 1091508633600.

The previous prime is 4461949893091. The next prime is 4461949893127. The reversal of 4461949893120 is 213989491644.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (4461949893127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 618766315 + ... + 618773525.

Almost surely, 2^{4461949893120} is an apocalyptic number.

4461949893120 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 4461949893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7751373594624).

4461949893120 is an abundant number, since it is smaller than the sum of its proper divisors (11040797296128).

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

4461949893120 is a wasteful number, since it uses less digits than its factorization.

4461949893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 4461949893120 in words is "four trillion, four hundred sixty-one billion, nine hundred forty-nine million, eight hundred ninety-three thousand, one hundred twenty".