4496410823940 has 960 divisors, whose sum is σ = 18119331901440. Its totient is φ = 909624038400.

The previous prime is 4496410823881. The next prime is 4496410823953. The reversal of 4496410823940 is 493280146944.

4496410823940 is a `hidden beast` number, since 4 + 496 + 4 + 1 + 0 + 82 + 39 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 213079390 + ... + 213100490.

It is an arithmetic number, because the mean of its divisors is an integer number (18874304064).

Almost surely, 2^{4496410823940} 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 4496410823940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9059665950720).

4496410823940 is an abundant number, since it is smaller than the sum of its proper divisors (13622921077500).

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

4496410823940 is a wasteful number, since it uses less digits than its factorization.

4496410823940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21214 (or 21203 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4496410823940 in words is "four trillion, four hundred ninety-six billion, four hundred ten million, eight hundred twenty-three thousand, nine hundred forty".