4097438004 has 72 divisors (see below), whose sum is σ = 10732627584. Its totient is φ = 1215209600.

The previous prime is 4097437987. The next prime is 4097438011. The reversal of 4097438004 is 4008347904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38224 + ... + 98264.

It is an arithmetic number, because the mean of its divisors is an integer number (149064272).

Almost surely, 2^4097438004 is an apocalyptic number.

4097438004 is a gapful number since it is divisible by the number (44) 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 4097438004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366313792).

4097438004 is an abundant number, since it is smaller than the sum of its proper divisors (6635189580).

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

4097438004 is a wasteful number, since it uses less digits than its factorization.

4097438004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60117 (or 60104 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4097438004 is about 64011.2334203927. The cubic root of 4097438004 is about 1600.1872181967.

The spelling of 4097438004 in words is "four billion, ninety-seven million, four hundred thirty-eight thousand, four".