4281445952640 has 640 divisors, whose sum is σ = 16584216430320. Its totient is φ = 1048341381120.

The previous prime is 4281445952633. The next prime is 4281445952669. The reversal of 4281445952640 is 462595441824.

4281445952640 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 4 + 4 + 595 + 2 + 6 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 481846999104 + 3799598953536 = 694152^2 + 1949256^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36073234 + ... + 36191726.

Almost surely, 2^{4281445952640} is an apocalyptic number.

4281445952640 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 4281445952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8292108215160).

4281445952640 is an abundant number, since it is smaller than the sum of its proper divisors (12302770477680).

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

4281445952640 is a wasteful number, since it uses less digits than its factorization.

4281445952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118582 (or 118561 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 4281445952640 in words is "four trillion, two hundred eighty-one billion, four hundred forty-five million, nine hundred fifty-two thousand, six hundred forty".