4145635657460 has 96 divisors (see below), whose sum is σ = 9566120632320. Its totient is φ = 1496603779200.

The previous prime is 4145635657453. The next prime is 4145635657481. The reversal of 4145635657460 is 647565365414.

It is a junction number, because it is equal to n+sod(n) for n = 4145635657396 and 4145635657405.

It is a congruent number.

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, 23816945 + ... + 23990375.

It is an arithmetic number, because the mean of its divisors is an integer number (99647089920).

Almost surely, 2^{4145635657460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145635657460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783060316160).

4145635657460 is an abundant number, since it is smaller than the sum of its proper divisors (5420484974860).

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

4145635657460 is a wasteful number, since it uses less digits than its factorization.

4145635657460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174237 (or 174235 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 56.

The spelling of 4145635657460 in words is "four trillion, one hundred forty-five billion, six hundred thirty-five million, six hundred fifty-seven thousand, four hundred sixty".