4496905890000 has 400 divisors, whose sum is σ = 16138006684800. Its totient is φ = 1198547712000.

The previous prime is 4496905889969. The next prime is 4496905890017. The reversal of 4496905890000 is 985096944.

4496905890000 is a `hidden beast` number, since 449 + 69 + 0 + 58 + 90 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

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, 764907061 + ... + 764912939.

It is an arithmetic number, because the mean of its divisors is an integer number (40345016712).

Almost surely, 2^{4496905890000} is an apocalyptic number.

4496905890000 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 4496905890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8069003342400).

4496905890000 is an abundant number, since it is smaller than the sum of its proper divisors (11641100794800).

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

4496905890000 is a wasteful number, since it uses less digits than its factorization.

4496905890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749 (or 8722 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 4496905890000 in words is "four trillion, four hundred ninety-six billion, nine hundred five million, eight hundred ninety thousand".