4355682240 has 448 divisors, whose sum is σ = 17279087616. Its totient is φ = 905084928.

The previous prime is 4355682239. The next prime is 4355682263. The reversal of 4355682240 is 422865534.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6376939 + ... + 6377621.

It is an arithmetic number, because the mean of its divisors is an integer number (38569392).

Almost surely, 2^4355682240 is an apocalyptic number.

4355682240 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 4355682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639543808).

4355682240 is an abundant number, since it is smaller than the sum of its proper divisors (12923405376).

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

4355682240 is a wasteful number, since it uses less digits than its factorization.

4355682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 4355682240 is about 65997.5926833699. The cubic root of 4355682240 is about 1633.1223776787.

The spelling of 4355682240 in words is "four billion, three hundred fifty-five million, six hundred eighty-two thousand, two hundred forty".