4290188560 has 80 divisors (see below), whose sum is σ = 11586615552. Its totient is φ = 1446796800.

The previous prime is 4290188557. The next prime is 4290188563. The reversal of 4290188560 is 658810924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4290188557) and next prime (4290188563).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4290188563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28636 + ... + 96955.

Almost surely, 2^4290188560 is an apocalyptic number.

4290188560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4290188560 is an abundant number, since it is smaller than the sum of its proper divisors (7296426992).

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

4290188560 is a wasteful number, since it uses less digits than its factorization.

4290188560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125672 (or 125666 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 4290188560 is about 65499.5309906873. The cubic root of 4290188560 is about 1624.8955906092.

The spelling of 4290188560 in words is "four billion, two hundred ninety million, one hundred eighty-eight thousand, five hundred sixty".