4601412644640 has 192 divisors, whose sum is σ = 16592655340800. Its totient is φ = 1050000998400.

The previous prime is 4601412644639. The next prime is 4601412644651. The reversal of 4601412644640 is 464462141064.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4601412644592 and 4601412644601.

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, 880036 + ... + 3158684.

It is an arithmetic number, because the mean of its divisors is an integer number (86420079900).

Almost surely, 2^{4601412644640} is an apocalyptic number.

4601412644640 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 4601412644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8296327670400).

4601412644640 is an abundant number, since it is smaller than the sum of its proper divisors (11991242696160).

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

4601412644640 is a wasteful number, since it uses less digits than its factorization.

4601412644640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279275 (or 2279267 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 4601412644640 in words is "four trillion, six hundred one billion, four hundred twelve million, six hundred forty-four thousand, six hundred forty".