4281150135680 has 288 divisors, whose sum is σ = 11624428110960. Its totient is φ = 1506536908800.

The previous prime is 4281150135679. The next prime is 4281150135701. The reversal of 4281150135680 is 865310511824.

4281150135680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 74391077 + ... + 74448603.

Almost surely, 2^{4281150135680} is an apocalyptic number.

4281150135680 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 4281150135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812214055480).

4281150135680 is an abundant number, since it is smaller than the sum of its proper divisors (7343277975280).

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

4281150135680 is a wasteful number, since it uses less digits than its factorization.

4281150135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57630 (or 57576 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 4281150135680 in words is "four trillion, two hundred eighty-one billion, one hundred fifty million, one hundred thirty-five thousand, six hundred eighty".