4238902886400 has 2448 divisors, whose sum is σ = 19511166145920. Its totient is φ = 894361927680.

The previous prime is 4238902886389. The next prime is 4238902886447. The reversal of 4238902886400 is 46882098324.

4238902886400 is a `hidden beast` number, since 4 + 238 + 90 + 288 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 326069452794 + ... + 326069452806.

Almost surely, 2^{4238902886400} is an apocalyptic number.

4238902886400 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 4238902886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9755583072960).

4238902886400 is an abundant number, since it is smaller than the sum of its proper divisors (15272263259520).

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

4238902886400 is an frugal number, since it uses more digits than its factorization.

4238902886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 4238902886400 in words is "four trillion, two hundred thirty-eight billion, nine hundred two million, eight hundred eighty-six thousand, four hundred".