4611041760 has 384 divisors, whose sum is σ = 16429754880. Its totient is φ = 1079156736.

The previous prime is 4611041759. The next prime is 4611041803. The reversal of 4611041760 is 671401164.

It is a super-2 number, since 2×4611041760² = 42523412224927795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15019527 + ... + 15019833.

It is an arithmetic number, because the mean of its divisors is an integer number (42785820).

Almost surely, 2^4611041760 is an apocalyptic number.

4611041760 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 4611041760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214877440).

4611041760 is an abundant number, since it is smaller than the sum of its proper divisors (11818713120).

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

4611041760 is a wasteful number, since it uses less digits than its factorization.

4611041760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4611041760 is about 67904.6519761349. The cubic root of 4611041760 is about 1664.4331304377.

The spelling of 4611041760 in words is "four billion, six hundred eleven million, forty-one thousand, seven hundred sixty".