31434412314000 has 80 divisors (see below), whose sum is σ = 101344545319680. Its totient is φ = 8382509948800.

The previous prime is 31434412313971. The next prime is 31434412314001. The reversal of 31434412314000 is 41321443413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (31434412314001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2619528360 + ... + 2619540359.

It is an arithmetic number, because the mean of its divisors is an integer number (1266806816496).

Almost surely, 2^{31434412314000} is an apocalyptic number.

31434412314000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31434412314000 is an abundant number, since it is smaller than the sum of its proper divisors (69910133005680).

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

31434412314000 is a wasteful number, since it uses less digits than its factorization.

31434412314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239068745 (or 5239068729 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 31434412314000 its reverse (41321443413), we get a palindrome (31475733757413).

The spelling of 31434412314000 in words is "thirty-one trillion, four hundred thirty-four billion, four hundred twelve million, three hundred fourteen thousand".