4004701380625 has 135 divisors (see below), whose sum is σ = 5820504130749. Its totient is φ = 2752015860000.

The previous prime is 4004701380623. The next prime is 4004701380637. The reversal of 4004701380625 is 5260831074004.

The square root of 4004701380625 is 2001175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 313968588241 + 3690732792384 = 560329^2 + 1921128^2 .

It is not a de Polignac number, because 4004701380625 - 2¹ = 4004701380623 is a prime.

It is a super-2 number, since 2×4004701380625² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4004701380623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10456139184 + ... + 10456139566.

Almost surely, 2^{4004701380625} is an apocalyptic number.

4004701380625 is the 2001175-th square number.

4004701380625 is the 1000588-th centered octagonal number.

It is an amenable number.

4004701380625 is a deficient number, since it is larger than the sum of its proper divisors (1815802750124).

4004701380625 is an frugal number, since it uses more digits than its factorization.

4004701380625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 4004701380625 in words is "four trillion, four billion, seven hundred one million, three hundred eighty thousand, six hundred twenty-five".