4607861440 has 224 divisors, whose sum is σ = 13682350080. Its totient is φ = 1439133696.

The previous prime is 4607861431. The next prime is 4607861459. The reversal of 4607861440 is 441687064.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4607861393 and 4607861402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2299479 + ... + 2301481.

It is an arithmetic number, because the mean of its divisors is an integer number (61081920).

Almost surely, 2^4607861440 is an apocalyptic number.

4607861440 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 4607861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841175040).

4607861440 is an abundant number, since it is smaller than the sum of its proper divisors (9074488640).

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

4607861440 is a wasteful number, since it uses less digits than its factorization.

4607861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 4607861440 is about 67881.2303954488. The cubic root of 4607861440 is about 1664.0503790837.

The spelling of 4607861440 in words is "four billion, six hundred seven million, eight hundred sixty-one thousand, four hundred forty".