917772042240 has 1008 divisors, whose sum is σ = 3527662545288. Its totient is φ = 228304355328.

The previous prime is 917772042221. The next prime is 917772042241. The reversal of 917772042240 is 42240277719.

917772042240 is a `hidden beast` number, since 91 + 77 + 72 + 0 + 422 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 588644941824 + 329127100416 = 767232^2 + 573696^2 .

It is a super-3 number, since 3×917772042240³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (917772042241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8121876424 + ... + 8121876536.

Almost surely, 2^917772042240 is an apocalyptic number.

917772042240 is a gapful number since it is divisible by the number (90) 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 917772042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763831272644).

917772042240 is an abundant number, since it is smaller than the sum of its proper divisors (2609890503048).

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

917772042240 is an frugal number, since it uses more digits than its factorization.

917772042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 917772042240 in words is "nine hundred seventeen billion, seven hundred seventy-two million, forty-two thousand, two hundred forty".