4131290688 has 112 divisors (see below), whose sum is σ = 13149803520. Its totient is φ = 1118237184.

The previous prime is 4131290633. The next prime is 4131290699. The reversal of 4131290688 is 8860921314.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55356 + ... + 106427.

It is an arithmetic number, because the mean of its divisors is an integer number (117408960).

Almost surely, 2^4131290688 is an apocalyptic number.

4131290688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4131290688 is an abundant number, since it is smaller than the sum of its proper divisors (9018512832).

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

4131290688 is a wasteful number, since it uses less digits than its factorization.

4131290688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161824 (or 161814 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4131290688 is about 64275.1171760892. The cubic root of 4131290688 is about 1604.5820073960.

The spelling of 4131290688 in words is "four billion, one hundred thirty-one million, two hundred ninety thousand, six hundred eighty-eight".