4605761040 has 160 divisors (see below), whose sum is σ = 15775347456. Its totient is φ = 1105674240.

The previous prime is 4605761029. The next prime is 4605761093. The reversal of 4605761040 is 401675064.

It is a junction number, because it is equal to n+sod(n) for n = 4605760992 and 4605761010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69300 + ... + 118380.

Almost surely, 2^4605761040 is an apocalyptic number.

4605761040 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 4605761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887673728).

4605761040 is an abundant number, since it is smaller than the sum of its proper divisors (11169586416).

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

4605761040 is a wasteful number, since it uses less digits than its factorization.

4605761040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49137 (or 49131 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4605761040 is about 67865.7574922729. The cubic root of 4605761040 is about 1663.7974994732.

The spelling of 4605761040 in words is "four billion, six hundred five million, seven hundred sixty-one thousand, forty".