4261566320640 has 624 divisors, whose sum is σ = 14961621362688. Its totient is φ = 1121901871104.

The previous prime is 4261566320639. The next prime is 4261566320659. The reversal of 4261566320640 is 460236651624.

It is a happy number.

4261566320640 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 5 + 6 + 632 + 0 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7186452184 + ... + 7186452776.

It is an arithmetic number, because the mean of its divisors is an integer number (23976957312).

Almost surely, 2^{4261566320640} is an apocalyptic number.

4261566320640 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 4261566320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480810681344).

4261566320640 is an abundant number, since it is smaller than the sum of its proper divisors (10700055042048).

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

4261566320640 is a wasteful number, since it uses less digits than its factorization.

4261566320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4261566320640 in words is "four trillion, two hundred sixty-one billion, five hundred sixty-six million, three hundred twenty thousand, six hundred forty".