4207290880 has 80 divisors (see below), whose sum is σ = 10863695304. Its totient is φ = 1553448960.

The previous prime is 4207290851. The next prime is 4207290931. The reversal of 4207290880 is 880927024.

It can be written as a sum of positive squares in 4 ways, for example, as 3202654464 + 1004636416 = 56592^2 + 31696^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 29931 + ... + 96490.

Almost surely, 2^4207290880 is an apocalyptic number.

4207290880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4207290880 is an abundant number, since it is smaller than the sum of its proper divisors (6656404424).

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

4207290880 is a wasteful number, since it uses less digits than its factorization.

4207290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126457 (or 126441 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 4207290880 is about 64863.6329540676. The cubic root of 4207290880 is about 1614.3617027281.

The spelling of 4207290880 in words is "four billion, two hundred seven million, two hundred ninety thousand, eight hundred eighty".