4097461125 has 32 divisors (see below), whose sum is σ = 7219255680. Its totient is φ = 2056761600.

The previous prime is 4097461079. The next prime is 4097461187. The reversal of 4097461125 is 5211647904.

4097461125 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4097461125 - 2⁶ = 4097461061 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314995 + ... + 327744.

It is an arithmetic number, because the mean of its divisors is an integer number (225601740).

Almost surely, 2^4097461125 is an apocalyptic number.

It is an amenable number.

4097461125 is a deficient number, since it is larger than the sum of its proper divisors (3121794555).

4097461125 is a wasteful number, since it uses less digits than its factorization.

4097461125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642774 (or 642764 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 4097461125 is about 64011.4140212509. The cubic root of 4097461125 is about 1600.1902280335.

It can be divided in two parts, 409746 and 1125, that added together give a triangular number (410871 = T₉₀₆).

The spelling of 4097461125 in words is "four billion, ninety-seven million, four hundred sixty-one thousand, one hundred twenty-five".