4532007075840 has 1368 divisors, whose sum is σ = 17831260916352. Its totient is φ = 1100753141760.

The previous prime is 4532007075811. The next prime is 4532007075847. The reversal of 4532007075840 is 485707002354.

4532007075840 is a `hidden beast` number, since 4 + 532 + 0 + 0 + 7 + 0 + 75 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4532007075847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 146193776625 + ... + 146193776655.

Almost surely, 2^{4532007075840} is an apocalyptic number.

4532007075840 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 4532007075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915630458176).

4532007075840 is an abundant number, since it is smaller than the sum of its proper divisors (13299253840512).

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

4532007075840 is an frugal number, since it uses more digits than its factorization.

4532007075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 4532007075840 in words is "four trillion, five hundred thirty-two billion, seven million, seventy-five thousand, eight hundred forty".