4506132753040 has 80 divisors (see below), whose sum is σ = 10632176425728. Its totient is φ = 1775892238848.

The previous prime is 4506132752999. The next prime is 4506132753049. The reversal of 4506132753040 is 403572316054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4506132752984 and 4506132753002.

It is not an unprimeable number, because it can be changed into a prime (4506132753049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235309 + ... + 3011251.

Almost surely, 2^{4506132753040} is an apocalyptic number.

4506132753040 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 4506132753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316088212864).

4506132753040 is an abundant number, since it is smaller than the sum of its proper divisors (6126043672688).

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

4506132753040 is a wasteful number, since it uses less digits than its factorization.

4506132753040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776256 (or 2776250 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 4506132753040 in words is "four trillion, five hundred six billion, one hundred thirty-two million, seven hundred fifty-three thousand, forty".