3959951898240 has 1920 divisors, whose sum is σ = 16506772848720. Its totient is φ = 898661744640.

The previous prime is 3959951898209. The next prime is 3959951898257. The reversal of 3959951898240 is 428981599593.

3959951898240 is a `hidden beast` number, since 3 + 9 + 599 + 5 + 1 + 8 + 9 + 8 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 401175291456 + 3558776606784 = 633384^2 + 1886472^2 .

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 (72).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 9974689722 + ... + 9974690118.

Almost surely, 2^{3959951898240} is an apocalyptic number.

3959951898240 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 3959951898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253386424360).

3959951898240 is an abundant number, since it is smaller than the sum of its proper divisors (12546820950480).

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

3959951898240 is a wasteful number, since it uses less digits than its factorization.

3959951898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 72.

The spelling of 3959951898240 in words is "three trillion, nine hundred fifty-nine billion, nine hundred fifty-one million, eight hundred ninety-eight thousand, two hundred forty".