3979311114240 has 3072 divisors, whose sum is σ = 18640303718400. Its totient is φ = 781398835200.

The previous prime is 3979311114227. The next prime is 3979311114263. The reversal of 3979311114240 is 424111139793.

3979311114240 is a `hidden beast` number, since 3 + 97 + 9 + 311 + 1 + 1 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 41023825872 + ... + 41023825968.

It is an arithmetic number, because the mean of its divisors is an integer number (6067807200).

Almost surely, 2^{3979311114240} is an apocalyptic number.

3979311114240 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 3979311114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9320151859200).

3979311114240 is an abundant number, since it is smaller than the sum of its proper divisors (14660992604160).

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

3979311114240 is a wasteful number, since it uses less digits than its factorization.

3979311114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 3979311114240 in words is "three trillion, nine hundred seventy-nine billion, three hundred eleven million, one hundred fourteen thousand, two hundred forty".