406045860480 has 192 divisors, whose sum is σ = 1509983322120. Its totient is φ = 99949731840.

The previous prime is 406045860433. The next prime is 406045860491. The reversal of 406045860480 is 84068540604.

406045860480 is a `hidden beast` number, since 4 + 0 + 60 + 4 + 58 + 60 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 226751201856 + 179294658624 = 476184^2 + 423432^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2636431 + ... + 2786190.

Almost surely, 2^406045860480 is an apocalyptic number.

406045860480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406045860480 is an abundant number, since it is smaller than the sum of its proper divisors (1103937461640).

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

406045860480 is a wasteful number, since it uses less digits than its factorization.

406045860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422659 (or 5422644 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 406045860480 in words is "four hundred six billion, forty-five million, eight hundred sixty thousand, four hundred eighty".