4531399323120 has 560 divisors, whose sum is σ = 16741765949472. Its totient is φ = 1136166912000.

The previous prime is 4531399323089. The next prime is 4531399323131. The reversal of 4531399323120 is 213239931354.

4531399323120 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 399 + 3 + 231 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1509961620 + ... + 1509964620.

Almost surely, 2^{4531399323120} is an apocalyptic number.

4531399323120 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 4531399323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370882974736).

4531399323120 is an abundant number, since it is smaller than the sum of its proper divisors (12210366626352).

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

4531399323120 is a wasteful number, since it uses less digits than its factorization.

4531399323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 4531399323120 in words is "four trillion, five hundred thirty-one billion, three hundred ninety-nine million, three hundred twenty-three thousand, one hundred twenty".