4201407141024 has 48 divisors (see below), whose sum is σ = 11326766558688. Its totient is φ = 1362618531072.

The previous prime is 4201407141011. The next prime is 4201407141143. The reversal of 4201407141024 is 4201417041024.

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

It is a super-2 number, since 2×4201407141024² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4201407140982 and 4201407141000.

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 7 ways as a sum of consecutive naturals, for example, 591410742 + ... + 591417845.

It is an arithmetic number, because the mean of its divisors is an integer number (235974303306).

Almost surely, 2^{4201407141024} is an apocalyptic number.

It is an amenable number.

4201407141024 is an abundant number, since it is smaller than the sum of its proper divisors (7125359417664).

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

4201407141024 is a wasteful number, since it uses less digits than its factorization.

4201407141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182828637 (or 1182828629 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The spelling of 4201407141024 in words is "four trillion, two hundred one billion, four hundred seven million, one hundred forty-one thousand, twenty-four".