30771342140000 has 1920 divisors, whose sum is σ = 101573885952000. Its totient is φ = 8895744000000.

The previous prime is 30771342139957. The next prime is 30771342140009. The reversal of 30771342140000 is 4124317703.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30771342140009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 154629859901 + ... + 154629860099.

It is an arithmetic number, because the mean of its divisors is an integer number (52903065600).

Almost surely, 2^{30771342140000} 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 30771342140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50786942976000).

30771342140000 is an abundant number, since it is smaller than the sum of its proper divisors (70802543812000).

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

30771342140000 is a wasteful number, since it uses less digits than its factorization.

30771342140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

Adding to 30771342140000 its reverse (4124317703), we get a palindrome (30775466457703).

The spelling of 30771342140000 in words is "thirty trillion, seven hundred seventy-one billion, three hundred forty-two million, one hundred forty thousand".