31432050431040 has 336 divisors, whose sum is σ = 116575883078400. Its totient is φ = 7154405572608.

The previous prime is 31432050431029. The next prime is 31432050431069. The reversal of 31432050431040 is 4013405023413.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 31432050430989 and 31432050431007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9844656 + ... + 12640464.

Almost surely, 2^{31432050431040} is an apocalyptic number.

31432050431040 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 31432050431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58287941539200).

31432050431040 is an abundant number, since it is smaller than the sum of its proper divisors (85143832647360).

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

31432050431040 is a wasteful number, since it uses less digits than its factorization.

31432050431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796082 (or 2796065 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 31432050431040 its reverse (4013405023413), we get a palindrome (35445455454453).

The spelling of 31432050431040 in words is "thirty-one trillion, four hundred thirty-two billion, fifty million, four hundred thirty-one thousand, forty".