4261102178880 has 448 divisors, whose sum is σ = 13852999065600. Its totient is φ = 1109398118400.

The previous prime is 4261102178857. The next prime is 4261102178929. The reversal of 4261102178880 is 888712011624.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7113692821 + ... + 7113693419.

Almost surely, 2^{4261102178880} is an apocalyptic number.

4261102178880 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 4261102178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926499532800).

4261102178880 is an abundant number, since it is smaller than the sum of its proper divisors (9591896886720).

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

4261102178880 is a wasteful number, since it uses less digits than its factorization.

4261102178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The spelling of 4261102178880 in words is "four trillion, two hundred sixty-one billion, one hundred two million, one hundred seventy-eight thousand, eight hundred eighty".