406145076480 has 1728 divisors, whose sum is σ = 1768386385920. Its totient is φ = 87588864000.

The previous prime is 406145076461. The next prime is 406145076497. The reversal of 406145076480 is 84670541604.

406145076480 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 4 + 507 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1685249160 + ... + 1685249400.

Almost surely, 2^406145076480 is an apocalyptic number.

406145076480 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 406145076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884193192960).

406145076480 is an abundant number, since it is smaller than the sum of its proper divisors (1362241309440).

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

406145076480 is a wasteful number, since it uses less digits than its factorization.

406145076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 406145076480 in words is "four hundred six billion, one hundred forty-five million, seventy-six thousand, four hundred eighty".