4338401280 has 240 divisors, whose sum is σ = 14092431360. Its totient is φ = 1139539968.

The previous prime is 4338401273. The next prime is 4338401297. The reversal of 4338401280 is 821048334.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31211451 + ... + 31211589.

It is an arithmetic number, because the mean of its divisors is an integer number (58718464).

Almost surely, 2^4338401280 is an apocalyptic number.

4338401280 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 4338401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046215680).

4338401280 is an abundant number, since it is smaller than the sum of its proper divisors (9754030080).

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

4338401280 is a wasteful number, since it uses less digits than its factorization.

4338401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4338401280 is about 65866.5414303803. The cubic root of 4338401280 is about 1630.9597369066.

The spelling of 4338401280 in words is "four billion, three hundred thirty-eight million, four hundred one thousand, two hundred eighty".