4229988926400 has 252 divisors, whose sum is σ = 15045399735912. Its totient is φ = 1127170222080.

The previous prime is 4229988926399. The next prime is 4229988926411. The reversal of 4229988926400 is 46298899224.

4229988926400 is a `hidden beast` number, since 4 + 2 + 299 + 8 + 89 + 264 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19664227 + ... + 19878173.

It is an arithmetic number, because the mean of its divisors is an integer number (59703967206).

Almost surely, 2^{4229988926400} is an apocalyptic number.

4229988926400 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 4229988926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522699867956).

4229988926400 is an abundant number, since it is smaller than the sum of its proper divisors (10815410809512).

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

4229988926400 is a wasteful number, since it uses less digits than its factorization.

4229988926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215348 (or 215330 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 4229988926400 in words is "four trillion, two hundred twenty-nine billion, nine hundred eighty-eight million, nine hundred twenty-six thousand, four hundred".