31438431680000 has 100 divisors (see below), whose sum is σ = 78494199831300. Its totient is φ = 12575372544000.

The previous prime is 31438431679981. The next prime is 31438431680003. The reversal of 31438431680000 is 8613483413.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 31438431680000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31438431680003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 48802550 + ... + 49442549.

It is an arithmetic number, because the mean of its divisors is an integer number (784941998313).

Almost surely, 2^{31438431680000} is an apocalyptic number.

It is an amenable number.

31438431680000 is an abundant number, since it is smaller than the sum of its proper divisors (47055768151300).

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

31438431680000 is an frugal number, since it uses more digits than its factorization.

31438431680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98245137 (or 98245106 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 31438431680000 in words is "thirty-one trillion, four hundred thirty-eight billion, four hundred thirty-one million, six hundred eighty thousand".