4726129920 has 288 divisors, whose sum is σ = 16015802880. Its totient is φ = 1184440320.

The previous prime is 4726129883. The next prime is 4726129921. The reversal of 4726129920 is 299216274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4726129921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15394407 + ... + 15394713.

Almost surely, 2^4726129920 is an apocalyptic number.

4726129920 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 4726129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007901440).

4726129920 is an abundant number, since it is smaller than the sum of its proper divisors (11289672960).

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

4726129920 is a wasteful number, since it uses less digits than its factorization.

4726129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 4726129920 is about 68746.8538916509. The cubic root of 4726129920 is about 1678.1671621448.

The spelling of 4726129920 in words is "four billion, seven hundred twenty-six million, one hundred twenty-nine thousand, nine hundred twenty".