4454313039792 has 480 divisors, whose sum is σ = 16140806922240. Its totient is φ = 1113183751680.

The previous prime is 4454313039763. The next prime is 4454313039829. The reversal of 4454313039792 is 2979303134544.

4454313039792 is a `hidden beast` number, since 4 + 4 + 5 + 431 + 30 + 3 + 97 + 92 = 666.

It is a super-2 number, since 2×4454313039792² (a number of 26 digits) contains 22 as substring.

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, 31874809 + ... + 32014247.

It is an arithmetic number, because the mean of its divisors is an integer number (33626681088).

Almost surely, 2^{4454313039792} is an apocalyptic number.

4454313039792 is a gapful number since it is divisible by the number (42) 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 4454313039792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8070403461120).

4454313039792 is an abundant number, since it is smaller than the sum of its proper divisors (11686493882448).

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

4454313039792 is a wasteful number, since it uses less digits than its factorization.

4454313039792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139581 (or 139572 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 4454313039792 in words is "four trillion, four hundred fifty-four billion, three hundred thirteen million, thirty-nine thousand, seven hundred ninety-two".