3921058290240 has 3360 divisors, whose sum is σ = 19071209203200. Its totient is φ = 754976194560.

The previous prime is 3921058290151. The next prime is 3921058290241. The reversal of 3921058290240 is 420928501293.

3921058290240 is a `hidden beast` number, since 3 + 9 + 21 + 0 + 582 + 9 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is not an unprimeable number, because it can be changed into a prime (3921058290241) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 9097582825 + ... + 9097583255.

It is an arithmetic number, because the mean of its divisors is an integer number (5675955120).

Almost surely, 2^{3921058290240} is an apocalyptic number.

3921058290240 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 3921058290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9535604601600).

3921058290240 is an abundant number, since it is smaller than the sum of its proper divisors (15150150912960).

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

3921058290240 is a wasteful number, since it uses less digits than its factorization.

3921058290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 3921058290240 in words is "three trillion, nine hundred twenty-one billion, fifty-eight million, two hundred ninety thousand, two hundred forty".