406010076480 has 448 divisors, whose sum is σ = 1474722374400. Its totient is φ = 106423455744.

The previous prime is 406010076469. The next prime is 406010076497. The reversal of 406010076480 is 84670010604.

406010076480 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 1 + 0 + 0 + 7 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41285644 + ... + 41295476.

Almost surely, 2^406010076480 is an apocalyptic number.

406010076480 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 406010076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737361187200).

406010076480 is an abundant number, since it is smaller than the sum of its proper divisors (1068712297920).

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

406010076480 is an frugal number, since it uses more digits than its factorization.

406010076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 406010076480 in words is "four hundred six billion, ten million, seventy-six thousand, four hundred eighty".