4165752240 has 200 divisors, whose sum is σ = 15581533968. Its totient is φ = 1025395200.

The previous prime is 4165752197. The next prime is 4165752251. The reversal of 4165752240 is 422575614.

It is a happy number.

4165752240 is a `hidden beast` number, since 41 + 6 + 57 + 522 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4165752195 and 4165752204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59515 + ... + 108965.

Almost surely, 2^4165752240 is an apocalyptic number.

4165752240 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 4165752240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790766984).

4165752240 is an abundant number, since it is smaller than the sum of its proper divisors (11415781728).

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

4165752240 is a wasteful number, since it uses less digits than its factorization.

4165752240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49489 (or 49474 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4165752240 is about 64542.6389296254. The cubic root of 4165752240 is about 1609.0312498316.

The spelling of 4165752240 in words is "four billion, one hundred sixty-five million, seven hundred fifty-two thousand, two hundred forty".