4673429958120 has 512 divisors, whose sum is σ = 18009922682880. Its totient is φ = 942019706880.

The previous prime is 4673429958107. The next prime is 4673429958137. The reversal of 4673429958120 is 218599243764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49026024 + ... + 49121256.

It is an arithmetic number, because the mean of its divisors is an integer number (35175630240).

It is a 1-persistent number, because it is pandigital, but 2⋅4673429958120 = 9346859916240 is not.

Almost surely, 2^{4673429958120} is an apocalyptic number.

4673429958120 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 4673429958120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004961341440).

4673429958120 is an abundant number, since it is smaller than the sum of its proper divisors (13336492724760).

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

4673429958120 is a wasteful number, since it uses less digits than its factorization.

4673429958120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95425 (or 95421 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 4673429958120 in words is "four trillion, six hundred seventy-three billion, four hundred twenty-nine million, nine hundred fifty-eight thousand, one hundred twenty".