31430626643040 has 192 divisors, whose sum is σ = 103323547869696. Its totient is φ = 8016121659392.

The previous prime is 31430626643011. The next prime is 31430626643069. The reversal of 31430626643040 is 4034662603413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31430626643011) and next prime (31430626643069).

It is a junction number, because it is equal to n+sod(n) for n = 31430626642983 and 31430626643001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93816307 + ... + 94150733.

It is an arithmetic number, because the mean of its divisors is an integer number (538143478488).

Almost surely, 2^{31430626643040} is an apocalyptic number.

31430626643040 is a gapful number since it is divisible by the number (30) 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 31430626643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51661773934848).

31430626643040 is an abundant number, since it is smaller than the sum of its proper divisors (71892921226656).

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

31430626643040 is a wasteful number, since it uses less digits than its factorization.

31430626643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342981 (or 342973 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 31430626643040 in words is "thirty-one trillion, four hundred thirty billion, six hundred twenty-six million, six hundred forty-three thousand, forty".