4201410141024 has 48 divisors (see below), whose sum is σ = 11037179044080. Its totient is φ = 1399393548800.

The previous prime is 4201410140999. The next prime is 4201410141029.

4201410141024 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4201410140985 and 4201410141003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201410141029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16694739 + ... + 16944530.

It is an arithmetic number, because the mean of its divisors is an integer number (229941230085).

Almost surely, 2^{4201410141024} is an apocalyptic number.

It is an amenable number.

4201410141024 is an abundant number, since it is smaller than the sum of its proper divisors (6835768903056).

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

4201410141024 is a wasteful number, since it uses less digits than its factorization.

4201410141024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33640583 (or 33640575 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4201410 and 141024, that added together give a palindrome (4342434).

The spelling of 4201410141024 in words is "four trillion, two hundred one billion, four hundred ten million, one hundred forty-one thousand, twenty-four".