406449699840 has 1056 divisors, whose sum is σ = 1545055948800. Its totient is φ = 98488811520.

The previous prime is 406449699767. The next prime is 406449699847. The reversal of 406449699840 is 48996944604.

406449699840 is a `hidden beast` number, since 4 + 0 + 6 + 449 + 69 + 98 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406449699847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2924098491 + ... + 2924098629.

Almost surely, 2^406449699840 is an apocalyptic number.

406449699840 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 406449699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772527974400).

406449699840 is an abundant number, since it is smaller than the sum of its proper divisors (1138606248960).

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

406449699840 is a wasteful number, since it uses less digits than its factorization.

406449699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 406449699840 in words is "four hundred six billion, four hundred forty-nine million, six hundred ninety-nine thousand, eight hundred forty".