4661047040 has 216 divisors, whose sum is σ = 12523260960. Its totient is φ = 1659420672.

The previous prime is 4661046931. The next prime is 4661047043. The reversal of 4661047040 is 407401664.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4661046988 and 4661047006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661047043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6272909 + ... + 6273651.

It is an arithmetic number, because the mean of its divisors is an integer number (57978060).

Almost surely, 2^4661047040 is an apocalyptic number.

4661047040 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 4661047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261630480).

4661047040 is an abundant number, since it is smaller than the sum of its proper divisors (7862213920).

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

4661047040 is a wasteful number, since it uses less digits than its factorization.

4661047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 4661047040 is about 68271.8612606980. The cubic root of 4661047040 is about 1670.4282597745.

The spelling of 4661047040 in words is "four billion, six hundred sixty-one million, forty-seven thousand, forty".