4915905603840 has 2160 divisors, whose sum is σ = 22537452921984. Its totient is φ = 1020081807360.

The previous prime is 4915905603809. The next prime is 4915905603857. The reversal of 4915905603840 is 483065095194.

4915905603840 is a `hidden beast` number, since 4 + 9 + 1 + 5 + 9 + 0 + 560 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×4915905603840² (a number of 26 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6761905557 + ... + 6761906283.

Almost surely, 2^{4915905603840} is an apocalyptic number.

4915905603840 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 4915905603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11268726460992).

4915905603840 is an abundant number, since it is smaller than the sum of its proper divisors (17621547318144).

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

4915905603840 is an equidigital number, since it uses as much as digits as its factorization.

4915905603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 4915905603840 in words is "four trillion, nine hundred fifteen billion, nine hundred five million, six hundred three thousand, eight hundred forty".