3951985213440 has 1920 divisors, whose sum is σ = 16488144691200. Its totient is φ = 887991828480.

The previous prime is 3951985213417. The next prime is 3951985213447. The reversal of 3951985213440 is 443125891593.

3951985213440 is a `hidden beast` number, since 3 + 9 + 5 + 198 + 5 + 2 + 1 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (3951985213447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38368788429 + ... + 38368788531.

It is an arithmetic number, because the mean of its divisors is an integer number (8587575360).

Almost surely, 2^{3951985213440} is an apocalyptic number.

3951985213440 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 3951985213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8244072345600).

3951985213440 is an abundant number, since it is smaller than the sum of its proper divisors (12536159477760).

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

3951985213440 is a wasteful number, since it uses less digits than its factorization.

3951985213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 3951985213440 in words is "three trillion, nine hundred fifty-one billion, nine hundred eighty-five million, two hundred thirteen thousand, four hundred forty".