31434031302040 has 128 divisors (see below), whose sum is σ = 72956105395200. Its totient is φ = 12183443919360.

The previous prime is 31434031301999. The next prime is 31434031302041. The reversal of 31434031302040 is 4020313043413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434031302041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 765225982 + ... + 765267058.

It is an arithmetic number, because the mean of its divisors is an integer number (569969573400).

Almost surely, 2^{31434031302040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434031302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36478052697600).

31434031302040 is an abundant number, since it is smaller than the sum of its proper divisors (41522074093160).

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

31434031302040 is a wasteful number, since it uses less digits than its factorization.

31434031302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45785 (or 45781 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 31434031302040 its reverse (4020313043413), we get a palindrome (35454344345453).

The spelling of 31434031302040 in words is "thirty-one trillion, four hundred thirty-four billion, thirty-one million, three hundred two thousand, forty".