4097472747904 has 128 divisors (see below), whose sum is σ = 8785537113600. Its totient is φ = 1897414170624.

The previous prime is 4097472747889. The next prime is 4097472747919.

4097472747904 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4097472747889) and next prime (4097472747919).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

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, 100910134 + ... + 100950730.

It is an arithmetic number, because the mean of its divisors is an integer number (68637008700).

Almost surely, 2^{4097472747904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097472747904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392768556800).

4097472747904 is an abundant number, since it is smaller than the sum of its proper divisors (4688064365696).

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

4097472747904 is a wasteful number, since it uses less digits than its factorization.

4097472747904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41560 (or 41548 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 64.

The spelling of 4097472747904 in words is "four trillion, ninety-seven billion, four hundred seventy-two million, seven hundred forty-seven thousand, nine hundred four".