4074809172480 has 800 divisors, whose sum is σ = 15140700843840. Its totient is φ = 1046178201600.

The previous prime is 4074809172443. The next prime is 4074809172481. The reversal of 4074809172480 is 842719084704.

4074809172480 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 8 + 0 + 91 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4074809172481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2808275755 + ... + 2808277205.

Almost surely, 2^{4074809172480} is an apocalyptic number.

4074809172480 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 4074809172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570350421920).

4074809172480 is an abundant number, since it is smaller than the sum of its proper divisors (11065891671360).

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

4074809172480 is a wasteful number, since it uses less digits than its factorization.

4074809172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 4074809172480 in words is "four trillion, seventy-four billion, eight hundred nine million, one hundred seventy-two thousand, four hundred eighty".