1034808540480 has 1344 divisors, whose sum is σ = 4487370451200. Its totient is φ = 223510855680.

The previous prime is 1034808540457. The next prime is 1034808540497. The reversal of 1034808540480 is 840458084301.

1034808540480 is a `hidden beast` number, since 10 + 3 + 4 + 80 + 85 + 4 + 0 + 480 = 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 191 ways as a sum of consecutive naturals, for example, 322469116 + ... + 322472324.

It is an arithmetic number, because the mean of its divisors is an integer number (3338817300).

Almost surely, 2^{1034808540480} is an apocalyptic number.

1034808540480 is a gapful number since it is divisible by the number (10) 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 1034808540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243685225600).

1034808540480 is an abundant number, since it is smaller than the sum of its proper divisors (3452561910720).

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

1034808540480 is a wasteful number, since it uses less digits than its factorization.

1034808540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1034808540480 in words is "one trillion, thirty-four billion, eight hundred eight million, five hundred forty thousand, four hundred eighty".