31411403012000 has 768 divisors, whose sum is σ = 88211127513600. Its totient is φ = 10979071488000.

The previous prime is 31411403011999. The next prime is 31411403012113. The reversal of 31411403012000 is 21030411413.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60060043739 + ... + 60060044261.

It is an arithmetic number, because the mean of its divisors is an integer number (114858238950).

Almost surely, 2^{31411403012000} 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 31411403012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44105563756800).

31411403012000 is an abundant number, since it is smaller than the sum of its proper divisors (56799724501600).

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

31411403012000 is a wasteful number, since it uses less digits than its factorization.

31411403012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31411403012000 its reverse (21030411413), we get a palindrome (31432433423413).

The spelling of 31411403012000 in words is "thirty-one trillion, four hundred eleven billion, four hundred three million, twelve thousand".