4531225726000 has 80 divisors (see below), whose sum is σ = 11189621139840. Its totient is φ = 1773926630400.

The previous prime is 4531225725997. The next prime is 4531225726003. The reversal of 4531225726000 is 6275221354.

It is an interprime number because it is at equal distance from previous prime (4531225725997) and next prime (4531225726003).

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

It is not an unprimeable number, because it can be changed into a prime (4531225726003) 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, 24008265 + ... + 24196264.

It is an arithmetic number, because the mean of its divisors is an integer number (139870264248).

Almost surely, 2^{4531225726000} is an apocalyptic number.

4531225726000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4531225726000 is an abundant number, since it is smaller than the sum of its proper divisors (6658395413840).

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

4531225726000 is a wasteful number, since it uses less digits than its factorization.

4531225726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48204599 (or 48204583 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 4531225726000 in words is "four trillion, five hundred thirty-one billion, two hundred twenty-five million, seven hundred twenty-six thousand".