4895276459040 has 720 divisors, whose sum is σ = 19602355449600. Its totient is φ = 1148440550400.

The previous prime is 4895276458987. The next prime is 4895276459089. The reversal of 4895276459040 is 409546725984.

4895276459040 is a `hidden beast` number, since 4 + 8 + 9 + 527 + 64 + 5 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4895276459040² (a number of 26 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 48562611 + ... + 48663309.

It is an arithmetic number, because the mean of its divisors is an integer number (27225493680).

Almost surely, 2^{4895276459040} is an apocalyptic number.

4895276459040 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 4895276459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9801177724800).

4895276459040 is an abundant number, since it is smaller than the sum of its proper divisors (14707078990560).

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

4895276459040 is a wasteful number, since it uses less digits than its factorization.

4895276459040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100779 (or 100751 counting only the distinct ones).

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

The spelling of 4895276459040 in words is "four trillion, eight hundred ninety-five billion, two hundred seventy-six million, four hundred fifty-nine thousand, forty".