4260407760 has 320 divisors, whose sum is σ = 17501736960. Its totient is φ = 931392000.

The previous prime is 4260407653. The next prime is 4260407761. The reversal of 4260407760 is 677040624.

4260407760 is a `hidden beast` number, since 42 + 604 + 0 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4260407761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341635 + ... + 353885.

It is an arithmetic number, because the mean of its divisors is an integer number (54692928).

Almost surely, 2^4260407760 is an apocalyptic number.

4260407760 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 4260407760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750868480).

4260407760 is an abundant number, since it is smaller than the sum of its proper divisors (13241329200).

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

4260407760 is a wasteful number, since it uses less digits than its factorization.

4260407760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12303 (or 12291 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4260407760 is about 65271.7991172298. The cubic root of 4260407760 is about 1621.1270620664.

The spelling of 4260407760 in words is "four billion, two hundred sixty million, four hundred seven thousand, seven hundred sixty".