31420412001000 has 1536 divisors, whose sum is σ = 121868457984000. Its totient is φ = 7508858112000.

The previous prime is 31420412000959. The next prime is 31420412001001. The reversal of 31420412001000 is 10021402413.

31420412001000 is a `hidden beast` number, since 3 + 1 + 420 + 41 + 200 + 1 + 0 + 0 + 0 = 666.

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 (31420412001001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 87522038821 + ... + 87522039179.

It is an arithmetic number, because the mean of its divisors is an integer number (79341444000).

Almost surely, 2^{31420412001000} is an apocalyptic number.

31420412001000 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 31420412001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60934228992000).

31420412001000 is an abundant number, since it is smaller than the sum of its proper divisors (90448045983000).

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

31420412001000 is a wasteful number, since it uses less digits than its factorization.

31420412001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31420412001000 its reverse (10021402413), we get a palindrome (31430433403413).

The spelling of 31420412001000 in words is "thirty-one trillion, four hundred twenty billion, four hundred twelve million, one thousand".