406944787968 has 400 divisors, whose sum is σ = 1313541624384. Its totient is φ = 124942417920.

The previous prime is 406944787967. The next prime is 406944787969. The reversal of 406944787968 is 869787449604.

406944787968 is a `hidden beast` number, since 4 + 0 + 6 + 94 + 478 + 7 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (406944787967) and next prime (406944787969).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 406944787896 and 406944787905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406944787967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33129988 + ... + 33142268.

Almost surely, 2^406944787968 is an apocalyptic number.

406944787968 is a gapful number since it is divisible by the number (48) 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 406944787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656770812192).

406944787968 is an abundant number, since it is smaller than the sum of its proper divisors (906596836416).

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

406944787968 is a wasteful number, since it uses less digits than its factorization.

406944787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12375 (or 12350 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 406944787968 in words is "four hundred six billion, nine hundred forty-four million, seven hundred eighty-seven thousand, nine hundred sixty-eight".