4288876827040 has 192 divisors, whose sum is σ = 11211057758880. Its totient is φ = 1540201512960.

The previous prime is 4288876826939. The next prime is 4288876827047. The reversal of 4288876827040 is 407286788824.

It can be written as a sum of positive squares in 16 ways, for example, as 398499287824 + 3890377539216 = 631268^2 + 1972404^2 .

It is not an unprimeable number, because it can be changed into a prime (4288876827047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237720420 + ... + 237738460.

Almost surely, 2^{4288876827040} is an apocalyptic number.

4288876827040 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 4288876827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605528879440).

4288876827040 is an abundant number, since it is smaller than the sum of its proper divisors (6922180931840).

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

4288876827040 is a wasteful number, since it uses less digits than its factorization.

4288876827040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21195 (or 21187 counting only the distinct ones).

The product of its (nonzero) digits is 77070336, while the sum is 64.

The spelling of 4288876827040 in words is "four trillion, two hundred eighty-eight billion, eight hundred seventy-six million, eight hundred twenty-seven thousand, forty".