4503461422320 has 480 divisors, whose sum is σ = 17437603921920. Its totient is φ = 1020273408000.

The previous prime is 4503461422319. The next prime is 4503461422337. The reversal of 4503461422320 is 232241643054.

4503461422320 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 4 + 614 + 2 + 2 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818659570 + ... + 818665070.

It is an arithmetic number, because the mean of its divisors is an integer number (36328341504).

Almost surely, 2^{4503461422320} is an apocalyptic number.

4503461422320 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 4503461422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718801960960).

4503461422320 is an abundant number, since it is smaller than the sum of its proper divisors (12934142499600).

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

4503461422320 is a wasteful number, since it uses less digits than its factorization.

4503461422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6933 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 4503461422320 in words is "four trillion, five hundred three billion, four hundred sixty-one million, four hundred twenty-two thousand, three hundred twenty".