4917074531040 has 960 divisors, whose sum is σ = 20281268367360. Its totient is φ = 1098737602560.

The previous prime is 4917074530997. The next prime is 4917074531063. The reversal of 4917074531040 is 401354707194.

It is a happy number.

4917074531040 is a `hidden beast` number, since 4 + 9 + 1 + 7 + 0 + 74 + 531 + 0 + 40 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 738185310 + ... + 738191970.

It is an arithmetic number, because the mean of its divisors is an integer number (21126321216).

Almost surely, 2^{4917074531040} is an apocalyptic number.

4917074531040 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 4917074531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140634183680).

4917074531040 is an abundant number, since it is smaller than the sum of its proper divisors (15364193836320).

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

4917074531040 is a wasteful number, since it uses less digits than its factorization.

4917074531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6877 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 4917074531040 in words is "four trillion, nine hundred seventeen billion, seventy-four million, five hundred thirty-one thousand, forty".