31431402000 has 800 divisors, whose sum is σ = 122475491424. Its totient is φ = 7741440000.

The previous prime is 31431401977. The next prime is 31431402007. The reversal of 31431402000 is 20413413.

31431402000 is a `hidden beast` number, since 31 + 431 + 4 + 0 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 18783250704 + 12648151296 = 137052^2 + 112464^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31431402007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 278153944 + ... + 278154056.

Almost surely, 2^31431402000 is an apocalyptic number.

31431402000 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 31431402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61237745712).

31431402000 is an abundant number, since it is smaller than the sum of its proper divisors (91044089424).

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

31431402000 is a wasteful number, since it uses less digits than its factorization.

31431402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31431402000 its reverse (20413413), we get a palindrome (31451815413).

The spelling of 31431402000 in words is "thirty-one billion, four hundred thirty-one million, four hundred two thousand".