31040120342000 has 320 divisors, whose sum is σ = 93797543144448. Its totient is φ = 9651841920000.

The previous prime is 31040120341987. The next prime is 31040120342009. The reversal of 31040120342000 is 24302104013.

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 (31040120342009) 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 63 ways as a sum of consecutive naturals, for example, 64594619 + ... + 65073381.

Almost surely, 2^{31040120342000} 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 31040120342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46898771572224).

31040120342000 is an abundant number, since it is smaller than the sum of its proper divisors (62757422802448).

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

31040120342000 is a wasteful number, since it uses less digits than its factorization.

31040120342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479225 (or 479209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31040120342000 its reverse (24302104013), we get a palindrome (31064422446013).

The spelling of 31040120342000 in words is "thirty-one trillion, forty billion, one hundred twenty million, three hundred forty-two thousand".