4281427401888 has 288 divisors, whose sum is σ = 13957905370752. Its totient is φ = 1125140889600.

The previous prime is 4281427401869. The next prime is 4281427401893. The reversal of 4281427401888 is 8881047241824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31845528 + ... + 31979688.

It is an arithmetic number, because the mean of its divisors is an integer number (48464949204).

Almost surely, 2^{4281427401888} is an apocalyptic number.

4281427401888 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 4281427401888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978952685376).

4281427401888 is an abundant number, since it is smaller than the sum of its proper divisors (9676477968864).

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

4281427401888 is a wasteful number, since it uses less digits than its factorization.

4281427401888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134488 (or 134467 counting only the distinct ones).

The product of its (nonzero) digits is 7340032, while the sum is 57.

The spelling of 4281427401888 in words is "four trillion, two hundred eighty-one billion, four hundred twenty-seven million, four hundred one thousand, eight hundred eighty-eight".