4261685400 has 288 divisors, whose sum is σ = 16963914240. Its totient is φ = 974021760.

The previous prime is 4261685383. The next prime is 4261685471. The reversal of 4261685400 is 45861624.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 333937 + ... + 346463.

It is an arithmetic number, because the mean of its divisors is an integer number (58902480).

Almost surely, 2^4261685400 is an apocalyptic number.

4261685400 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 4261685400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481957120).

4261685400 is an abundant number, since it is smaller than the sum of its proper divisors (12702228840).

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

4261685400 is a wasteful number, since it uses less digits than its factorization.

4261685400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12565 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4261685400 is about 65281.5854586881. The cubic root of 4261685400 is about 1621.2890973995.

The spelling of 4261685400 in words is "four billion, two hundred sixty-one million, six hundred eighty-five thousand, four hundred".