4141590635520 has 1408 divisors, whose sum is σ = 17328396718080. Its totient is φ = 928335790080.

The previous prime is 4141590635509. The next prime is 4141590635603. The reversal of 4141590635520 is 255360951414.

It is a happy number.

4141590635520 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 5 + 9 + 0 + 635 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 947080054 + ... + 947084426.

Almost surely, 2^{4141590635520} is an apocalyptic number.

4141590635520 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 4141590635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664198359040).

4141590635520 is an abundant number, since it is smaller than the sum of its proper divisors (13186806082560).

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

4141590635520 is a wasteful number, since it uses less digits than its factorization.

4141590635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 4141590635520 in words is "four trillion, one hundred forty-one billion, five hundred ninety million, six hundred thirty-five thousand, five hundred twenty".