10261218240 has 896 divisors, whose sum is σ = 46099415040. Its totient is φ = 2090188800.

The previous prime is 10261218199. The next prime is 10261218283. The reversal of 10261218240 is 4281216201.

10261218240 is a `hidden beast` number, since 1 + 0 + 2 + 612 + 1 + 8 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24373230 + ... + 24373650.

It is an arithmetic number, because the mean of its divisors is an integer number (51450240).

Almost surely, 2^10261218240 is an apocalyptic number.

10261218240 is a gapful number since it is divisible by the number (10) 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 10261218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23049707520).

10261218240 is an abundant number, since it is smaller than the sum of its proper divisors (35838196800).

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

10261218240 is a wasteful number, since it uses less digits than its factorization.

10261218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10261218240 in words is "ten billion, two hundred sixty-one million, two hundred eighteen thousand, two hundred forty".