406687385520 has 1920 divisors, whose sum is σ = 1715058229248. Its totient is φ = 88683724800.

The previous prime is 406687385473. The next prime is 406687385627. The reversal of 406687385520 is 25583786604.

406687385520 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 87 + 3 + 8 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6667006290 + ... + 6667006350.

Almost surely, 2^406687385520 is an apocalyptic number.

406687385520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406687385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857529114624).

406687385520 is an abundant number, since it is smaller than the sum of its proper divisors (1308370843728).

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

406687385520 is a wasteful number, since it uses less digits than its factorization.

406687385520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 406687385520 in words is "four hundred six billion, six hundred eighty-seven million, three hundred eighty-five thousand, five hundred twenty".