4281778334064 has 640 divisors, whose sum is σ = 14699603165184. Its totient is φ = 1041610752000.

The previous prime is 4281778334047. The next prime is 4281778334089. The reversal of 4281778334064 is 4604338771824.

It is a junction number, because it is equal to n+sod(n) for n = 4281778333995 and 4281778334013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 596593644 + ... + 596600820.

Almost surely, 2^{4281778334064} is an apocalyptic number.

4281778334064 is a gapful number since it is divisible by the number (44) 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 4281778334064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349801582592).

4281778334064 is an abundant number, since it is smaller than the sum of its proper divisors (10417824831120).

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

4281778334064 is a wasteful number, since it uses less digits than its factorization.

4281778334064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7405 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 4281778334064 in words is "four trillion, two hundred eighty-one billion, seven hundred seventy-eight million, three hundred thirty-four thousand, sixty-four".