4058921041920 has 380 divisors, whose sum is σ = 14552336463984. Its totient is φ = 1082350632960.

The previous prime is 4058921041859. The next prime is 4058921041961. The reversal of 4058921041920 is 291401298504.

It is a happy number.

4058921041920 is a `hidden beast` number, since 4 + 0 + 589 + 2 + 1 + 0 + 41 + 9 + 20 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106149205 + ... + 106187435.

Almost surely, 2^{4058921041920} is an apocalyptic number.

4058921041920 is a gapful number since it is divisible by the number (40) 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 4058921041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7276168231992).

4058921041920 is an abundant number, since it is smaller than the sum of its proper divisors (10493415422064).

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

4058921041920 is an frugal number, since it uses more digits than its factorization.

4058921041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38284 (or 38241 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 4058921041920 in words is "four trillion, fifty-eight billion, nine hundred twenty-one million, forty-one thousand, nine hundred twenty".