4497713136000 has 3072 divisors, whose sum is σ = 20766305664000. Its totient is φ = 951035904000.

The previous prime is 4497713135999. The next prime is 4497713136061. The reversal of 4497713136000 is 6313177944.

4497713136000 is a `hidden beast` number, since 4 + 4 + 9 + 7 + 7 + 1 + 31 + 3 + 600 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21316175895 + ... + 21316176105.

It is an arithmetic number, because the mean of its divisors is an integer number (6759865125).

Almost surely, 2^{4497713136000} is an apocalyptic number.

4497713136000 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 4497713136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10383152832000).

4497713136000 is an abundant number, since it is smaller than the sum of its proper divisors (16268592528000).

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

4497713136000 is a wasteful number, since it uses less digits than its factorization.

4497713136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 4497713136000 in words is "four trillion, four hundred ninety-seven billion, seven hundred thirteen million, one hundred thirty-six thousand".