499820513725440 has 2464 divisors, whose sum is σ = 1917008683915776. Its totient is φ = 124763488911360.

The previous prime is 499820513725411. The next prime is 499820513725453. The reversal of 499820513725440 is 44527315028994.

It is a happy number.

499820513725440 is a `hidden beast` number, since 4 + 9 + 9 + 8 + 2 + 0 + 5 + 13 + 72 + 544 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1340001377094 + ... + 1340001377466.

Almost surely, 2^{499820513725440} is an apocalyptic number.

499820513725440 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 499820513725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958504341957888).

499820513725440 is an abundant number, since it is smaller than the sum of its proper divisors (1417188170190336).

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

499820513725440 is a wasteful number, since it uses less digits than its factorization.

499820513725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 499820513725440 in words is "four hundred ninety-nine trillion, eight hundred twenty billion, five hundred thirteen million, seven hundred twenty-five thousand, four hundred forty".