4097552557904 has 40 divisors (see below), whose sum is σ = 8582968441320. Its totient is φ = 1883819409408.

The previous prime is 4097552557871. The next prime is 4097552557921.

4097552557904 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1168457226304 + 2929095331600 = 1080952^2 + 1711460^2 .

It is a super-2 number, since 2×4097552557904² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38272949 + ... + 38379860.

It is an arithmetic number, because the mean of its divisors is an integer number (214574211033).

Almost surely, 2^{4097552557904} is an apocalyptic number.

It is an amenable number.

4097552557904 is an abundant number, since it is smaller than the sum of its proper divisors (4485415883416).

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

4097552557904 is a wasteful number, since it uses less digits than its factorization.

4097552557904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76653087 (or 76653081 counting only the distinct ones).

The product of its (nonzero) digits is 79380000, while the sum is 62.

The spelling of 4097552557904 in words is "four trillion, ninety-seven billion, five hundred fifty-two million, five hundred fifty-seven thousand, nine hundred four".