4492460762496 has 384 divisors, whose sum is σ = 15430972284000. Its totient is φ = 1282957885440.

The previous prime is 4492460762443. The next prime is 4492460762509. The reversal of 4492460762496 is 6942670642944.

It is a happy number.

4492460762496 is a `hidden beast` number, since 4 + 4 + 9 + 24 + 60 + 7 + 62 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4492460762496² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 462134916 + ... + 462144636.

Almost surely, 2^{4492460762496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4492460762496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715486142000).

4492460762496 is an abundant number, since it is smaller than the sum of its proper divisors (10938511521504).

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

4492460762496 is a wasteful number, since it uses less digits than its factorization.

4492460762496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 4492460762496 in words is "four trillion, four hundred ninety-two billion, four hundred sixty million, seven hundred sixty-two thousand, four hundred ninety-six".