31435040000 has 720 divisors, whose sum is σ = 102984634368. Its totient is φ = 9289728000.

The previous prime is 31435039907. The next prime is 31435040009. The reversal of 31435040000 is 4053413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31435040009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 247519937 + ... + 247520063.

Almost surely, 2^31435040000 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 31435040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51492317184).

31435040000 is an abundant number, since it is smaller than the sum of its proper divisors (71549594368).

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

31435040000 is a wasteful number, since it uses less digits than its factorization.

31435040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 31435040000 its reverse (4053413), we get a palindrome (31439093413).

The spelling of 31435040000 in words is "thirty-one billion, four hundred thirty-five million, forty thousand".