4905613440 has 768 divisors, whose sum is σ = 21385728000. Its totient is φ = 1029611520.

The previous prime is 4905613411. The next prime is 4905613463. The reversal of 4905613440 is 443165094.

4905613440 is a `hidden beast` number, since 4 + 90 + 561 + 3 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4905613395 and 4905613404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25683745 + ... + 25683935.

It is an arithmetic number, because the mean of its divisors is an integer number (27846000).

Almost surely, 2^4905613440 is an apocalyptic number.

4905613440 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 4905613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692864000).

4905613440 is an abundant number, since it is smaller than the sum of its proper divisors (16480114560).

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

4905613440 is a wasteful number, since it uses less digits than its factorization.

4905613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4905613440 is about 70040.0845230786. The cubic root of 4905613440 is about 1699.1476049683.

The spelling of 4905613440 in words is "four billion, nine hundred five million, six hundred thirteen thousand, four hundred forty".