4007395415104 has 63 divisors (see below), whose sum is σ = 8174116332837. Its totient is φ = 1949255449344.

The previous prime is 4007395415069. The next prime is 4007395415117. The reversal of 4007395415104 is 4015145937004.

It is a happy number.

The square root of 4007395415104 is 2001848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3585872449600 + 421522965504 = 1893640^2 + 649248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 592543627 + ... + 592550389.

It is an arithmetic number, because the mean of its divisors is an integer number (129747878299).

Almost surely, 2^{4007395415104} is an apocalyptic number.

4007395415104 is the 2001848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4007395415104

4007395415104 is an abundant number, since it is smaller than the sum of its proper divisors (4166720917733).

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

4007395415104 is an frugal number, since it uses more digits than its factorization.

4007395415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13612 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 4007395415104 in words is "four trillion, seven billion, three hundred ninety-five million, four hundred fifteen thousand, one hundred four".