4601199860640 has 288 divisors, whose sum is σ = 16471814486400. Its totient is φ = 1167990405120.

The previous prime is 4601199860629. The next prime is 4601199860723. The reversal of 4601199860640 is 460689911064.

It is a happy number.

4601199860640 is a `hidden beast` number, since 460 + 11 + 99 + 86 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2189031 + ... + 3740889.

It is an arithmetic number, because the mean of its divisors is an integer number (57193800300).

Almost surely, 2^{4601199860640} is an apocalyptic number.

4601199860640 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 4601199860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235907243200).

4601199860640 is an abundant number, since it is smaller than the sum of its proper divisors (11870614625760).

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

4601199860640 is a wasteful number, since it uses less digits than its factorization.

4601199860640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551980 (or 1551969 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 4601199860640 in words is "four trillion, six hundred one billion, one hundred ninety-nine million, eight hundred sixty thousand, six hundred forty".