4229099900928 has 1456 divisors, whose sum is σ = 15951675002880. Its totient is φ = 1092583489536.

The previous prime is 4229099900923. The next prime is 4229099900957. The reversal of 4229099900928 is 8290099909224.

It is a super-2 number, since 2×4229099900928² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229099900923) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9134124825 + ... + 9134125287.

Almost surely, 2^{4229099900928} is an apocalyptic number.

4229099900928 is a gapful number since it is divisible by the number (48) 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 4229099900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7975837501440).

4229099900928 is an abundant number, since it is smaller than the sum of its proper divisors (11722575101952).

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

4229099900928 is an equidigital number, since it uses as much as digits as its factorization.

4229099900928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 4229099900928 in words is "four trillion, two hundred twenty-nine billion, ninety-nine million, nine hundred thousand, nine hundred twenty-eight".