406931073007872 has 72 divisors (see below), whose sum is σ = 1237748680415296. Its totient is φ = 116266020857856.

The previous prime is 406931073007871. The next prime is 406931073007873. The reversal of 406931073007872 is 278700370139604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (406931073007871) and next prime (406931073007873).

It is a super-3 number, since 3×406931073007872³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (406931073007871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37847006623 + ... + 37847017374.

Almost surely, 2^{406931073007872} is an apocalyptic number.

406931073007872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

406931073007872 is an abundant number, since it is smaller than the sum of its proper divisors (830817607407424).

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

406931073007872 is an equidigital number, since it uses as much as digits as its factorization.

406931073007872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75694024023 (or 75694024009 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 57.

The spelling of 406931073007872 in words is "four hundred six trillion, nine hundred thirty-one billion, seventy-three million, seven thousand, eight hundred seventy-two".