468098267040 has 72 divisors (see below), whose sum is σ = 1597385341188. Its totient is φ = 124826204160.

The previous prime is 468098267027. The next prime is 468098267083. The reversal of 468098267040 is 40762890864.

468098267040 is a `hidden beast` number, since 468 + 0 + 9 + 82 + 67 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 391610620944 + 76487646096 = 625788^2 + 276564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162532681 + ... + 162535560.

Almost surely, 2^468098267040 is an apocalyptic number.

468098267040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468098267040 is an abundant number, since it is smaller than the sum of its proper divisors (1129287074148).

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

468098267040 is a wasteful number, since it uses less digits than its factorization.

468098267040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325068262 (or 325068251 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 468098267040 in words is "four hundred sixty-eight billion, ninety-eight million, two hundred sixty-seven thousand, forty".