4132145510460 has 288 divisors, whose sum is σ = 14183324483328. Its totient is φ = 965031459840.

The previous prime is 4132145510447. The next prime is 4132145510461. The reversal of 4132145510460 is 640155412314.

4132145510460 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 145 + 51 + 0 + 460 = 666.

It is a super-2 number, since 2×4132145510460² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132145510461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5882799 + ... + 6547641.

It is an arithmetic number, because the mean of its divisors is an integer number (49247654456).

Almost surely, 2^{4132145510460} 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 4132145510460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091662241664).

4132145510460 is an abundant number, since it is smaller than the sum of its proper divisors (10051178972868).

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

4132145510460 is a wasteful number, since it uses less digits than its factorization.

4132145510460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664985 (or 664980 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 4132145510460 in words is "four trillion, one hundred thirty-two billion, one hundred forty-five million, five hundred ten thousand, four hundred sixty".