1994509932480 has 1344 divisors, whose sum is σ = 7946413977600. Its totient is φ = 470212853760.

The previous prime is 1994509932469. The next prime is 1994509932553. The reversal of 1994509932480 is 842399054991.

1994509932480 is a `hidden beast` number, since 1 + 9 + 94 + 509 + 9 + 32 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×1994509932480² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 6291829282 + ... + 6291829598.

It is an arithmetic number, because the mean of its divisors is an integer number (5912510400).

Almost surely, 2^{1994509932480} is an apocalyptic number.

1994509932480 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 1994509932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973206988800).

1994509932480 is an abundant number, since it is smaller than the sum of its proper divisors (5951904045120).

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

1994509932480 is a wasteful number, since it uses less digits than its factorization.

1994509932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 1994509932480 in words is "one trillion, nine hundred ninety-four billion, five hundred nine million, nine hundred thirty-two thousand, four hundred eighty".