4240165102460 has 192 divisors, whose sum is σ = 11088374169600. Its totient is φ = 1328925201408.

The previous prime is 4240165102363. The next prime is 4240165102477. The reversal of 4240165102460 is 642015610424.

It is a super-2 number, since 2×4240165102460² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4240165102460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128267294 + ... + 128300346.

It is an arithmetic number, because the mean of its divisors is an integer number (57751948800).

Almost surely, 2^{4240165102460} 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 4240165102460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544187084800).

4240165102460 is an abundant number, since it is smaller than the sum of its proper divisors (6848209067140).

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

4240165102460 is a wasteful number, since it uses less digits than its factorization.

4240165102460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34780 (or 34778 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 4240165102460 in words is "four trillion, two hundred forty billion, one hundred sixty-five million, one hundred two thousand, four hundred sixty".