4461940777896 has 320 divisors, whose sum is σ = 15089839142400. Its totient is φ = 1204689604608.

The previous prime is 4461940777859. The next prime is 4461940777901. The reversal of 4461940777896 is 6987770491644.

4461940777896 is a `hidden beast` number, since 4 + 4 + 61 + 9 + 407 + 7 + 78 + 96 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5821720 + ... + 6543416.

It is an arithmetic number, because the mean of its divisors is an integer number (47155747320).

Almost surely, 2^{4461940777896} 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 4461940777896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544919571200).

4461940777896 is an abundant number, since it is smaller than the sum of its proper divisors (10627898364504).

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

4461940777896 is a wasteful number, since it uses less digits than its factorization.

4461940777896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721798 (or 721785 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 4461940777896 in words is "four trillion, four hundred sixty-one billion, nine hundred forty million, seven hundred seventy-seven thousand, eight hundred ninety-six".