499780938240 has 1280 divisors, whose sum is σ = 1956892608000. Its totient is φ = 121923698688.

The previous prime is 499780938203. The next prime is 499780938259. The reversal of 499780938240 is 42839087994.

499780938240 is a `hidden beast` number, since 499 + 78 + 0 + 9 + 38 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 5615516116 + ... + 5615516204.

It is an arithmetic number, because the mean of its divisors is an integer number (1528822350).

Almost surely, 2^499780938240 is an apocalyptic number.

499780938240 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 499780938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978446304000).

499780938240 is an abundant number, since it is smaller than the sum of its proper divisors (1457111669760).

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

499780938240 is an frugal number, since it uses more digits than its factorization.

499780938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 499780938240 in words is "four hundred ninety-nine billion, seven hundred eighty million, nine hundred thirty-eight thousand, two hundred forty".