4290777360 has 560 divisors, whose sum is σ = 16101201600. Its totient is φ = 1060770816.

The previous prime is 4290777341. The next prime is 4290777401. The reversal of 4290777360 is 637770924.

It is a happy number.

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

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 111 ways as a sum of consecutive naturals, for example, 72725011 + ... + 72725069.

Almost surely, 2^4290777360 is an apocalyptic number.

4290777360 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 4290777360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8050600800).

4290777360 is an abundant number, since it is smaller than the sum of its proper divisors (11810424240).

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

4290777360 is a wasteful number, since it uses less digits than its factorization.

4290777360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 4290777360 is about 65504.0255251538. The cubic root of 4290777360 is about 1624.9699225991.

The spelling of 4290777360 in words is "four billion, two hundred ninety million, seven hundred seventy-seven thousand, three hundred sixty".