408667728562740 has 240 divisors, whose sum is σ = 1291543263000144. Its totient is φ = 108168796569600.

The previous prime is 408667728562703. The next prime is 408667728562757. The reversal of 408667728562740 is 47265827766804.

408667728562740 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 6 + 77 + 285 + 6 + 274 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17541413136 + 408650187149604 = 132444^2 + 20215098^2 .

It is a super-2 number, since 2×408667728562740² (a number of 30 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 79 ways as a sum of consecutive naturals, for example, 238480180 + ... + 240187700.

Almost surely, 2^{408667728562740} 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 408667728562740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645771631500072).

408667728562740 is an abundant number, since it is smaller than the sum of its proper divisors (882875534437404).

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

408667728562740 is a wasteful number, since it uses less digits than its factorization.

408667728562740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708640 (or 1708629 counting only the distinct ones).

The product of its (nonzero) digits is 1517322240, while the sum is 72.

The spelling of 408667728562740 in words is "four hundred eight trillion, six hundred sixty-seven billion, seven hundred twenty-eight million, five hundred sixty-two thousand, seven hundred forty".