4261346880 has 224 divisors, whose sum is σ = 15519928320. Its totient is φ = 970414080.

The previous prime is 4261346851. The next prime is 4261346891. The reversal of 4261346880 is 886431624.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2088901 + ... + 2090939.

Almost surely, 2^4261346880 is an apocalyptic number.

4261346880 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 4261346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759964160).

4261346880 is an abundant number, since it is smaller than the sum of its proper divisors (11258581440).

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

4261346880 is a wasteful number, since it uses less digits than its factorization.

4261346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4261346880 is about 65278.9926392863. The cubic root of 4261346880 is about 1621.2461681147.

The spelling of 4261346880 in words is "four billion, two hundred sixty-one million, three hundred forty-six thousand, eight hundred eighty".