3970465741440 has 2048 divisors, whose sum is σ = 17375739494400. Its totient is φ = 844745932800.

The previous prime is 3970465741439. The next prime is 3970465741469. The reversal of 3970465741440 is 441475640793.

3970465741440 is a `hidden beast` number, since 3 + 9 + 70 + 4 + 65 + 74 + 1 + 440 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3047171829 + ... + 3047173131.

It is an arithmetic number, because the mean of its divisors is an integer number (8484247800).

Almost surely, 2^{3970465741440} is an apocalyptic number.

3970465741440 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 3970465741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687869747200).

3970465741440 is an abundant number, since it is smaller than the sum of its proper divisors (13405273752960).

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

3970465741440 is a wasteful number, since it uses less digits than its factorization.

3970465741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3970465741440 in words is "three trillion, nine hundred seventy billion, four hundred sixty-five million, seven hundred forty-one thousand, four hundred forty".