406023840000 has 945 divisors, whose sum is σ = 1544607085483. Its totient is φ = 106437888000.

The previous prime is 406023839983. The next prime is 406023840017. The reversal of 406023840000 is 48320604.

The square root of 406023840000 is 637200.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (406023839983) and next prime (406023840017).

It can be written as a sum of positive squares in 2 ways, for example, as 31832269056 + 374191570944 = 178416^2 + 611712^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 6881759971 + ... + 6881760029.

Almost surely, 2^406023840000 is an apocalyptic number.

406023840000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

406023840000 is the 637200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406023840000

406023840000 is an abundant number, since it is smaller than the sum of its proper divisors (1138583245483).

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

406023840000 is an frugal number, since it uses more digits than its factorization.

406023840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 406023840000 in words is "four hundred six billion, twenty-three million, eight hundred forty thousand".