31419741120768 has 3456 divisors, whose sum is σ = 132474370129920. Its totient is φ = 7163495055360.

The previous prime is 31419741120679. The next prime is 31419741120787. The reversal of 31419741120768 is 86702114791413.

31419741120768 is a `hidden beast` number, since 3 + 1 + 4 + 19 + 7 + 411 + 207 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 229341175996 + ... + 229341176132.

It is an arithmetic number, because the mean of its divisors is an integer number (38331704320).

Almost surely, 2^{31419741120768} 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 31419741120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66237185064960).

31419741120768 is an abundant number, since it is smaller than the sum of its proper divisors (101054629009152).

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

31419741120768 is a wasteful number, since it uses less digits than its factorization.

31419741120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 31419741120768 in words is "thirty-one trillion, four hundred nineteen billion, seven hundred forty-one million, one hundred twenty thousand, seven hundred sixty-eight".