4073930471520 has 1920 divisors, whose sum is σ = 18395457696000. Its totient is φ = 826138165248.

The previous prime is 4073930471497. The next prime is 4073930471549. The reversal of 4073930471520 is 251740393704.

4073930471520 is a `hidden beast` number, since 4 + 0 + 73 + 93 + 0 + 471 + 5 + 20 = 666.

It is a super-2 number, since 2×4073930471520² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 3883631956 + ... + 3883633004.

It is an arithmetic number, because the mean of its divisors is an integer number (9580967550).

Almost surely, 2^{4073930471520} is an apocalyptic number.

4073930471520 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 4073930471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9197728848000).

4073930471520 is an abundant number, since it is smaller than the sum of its proper divisors (14321527224480).

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

4073930471520 is a wasteful number, since it uses less digits than its factorization.

4073930471520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 4073930471520 in words is "four trillion, seventy-three billion, nine hundred thirty million, four hundred seventy-one thousand, five hundred twenty".