4591245120000 has 2400 divisors, whose sum is σ = 20460611508480. Its totient is φ = 901877760000.

The previous prime is 4591245119983. The next prime is 4591245120017. The reversal of 4591245120000 is 215421954.

It is an interprime number because it is at equal distance from previous prime (4591245119983) and next prime (4591245120017).

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9831359767 + ... + 9831360233.

Almost surely, 2^{4591245120000} is an apocalyptic number.

4591245120000 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 4591245120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10230305754240).

4591245120000 is an abundant number, since it is smaller than the sum of its proper divisors (15869366388480).

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

4591245120000 is a wasteful number, since it uses less digits than its factorization.

4591245120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 4591245120000 in words is "four trillion, five hundred ninety-one billion, two hundred forty-five million, one hundred twenty thousand".