4132746114000 has 640 divisors, whose sum is σ = 15327801815040. Its totient is φ = 938426112000.

The previous prime is 4132746113983. The next prime is 4132746114017. The reversal of 4132746114000 is 4116472314.

It is an interprime number because it is at equal distance from previous prime (4132746113983) and next prime (4132746114017).

It is a congruent number.

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, 7237733715 + ... + 7237734285.

It is an arithmetic number, because the mean of its divisors is an integer number (23949690336).

Almost surely, 2^{4132746114000} is an apocalyptic number.

4132746114000 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 4132746114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663900907520).

4132746114000 is an abundant number, since it is smaller than the sum of its proper divisors (11195055701040).

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

4132746114000 is a wasteful number, since it uses less digits than its factorization.

4132746114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 4132746114000 in words is "four trillion, one hundred thirty-two billion, seven hundred forty-six million, one hundred fourteen thousand".