10218637440 has 768 divisors, whose sum is σ = 41759452800. Its totient is φ = 2274754560.

The previous prime is 10218637427. The next prime is 10218637483. The reversal of 10218637440 is 4473681201.

10218637440 is a `hidden beast` number, since 1 + 0 + 2 + 18 + 637 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×10218637440² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10218637395 and 10218637404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57087271 + ... + 57087449.

Almost surely, 2^10218637440 is an apocalyptic number.

10218637440 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 10218637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20879726400).

10218637440 is an abundant number, since it is smaller than the sum of its proper divisors (31540815360).

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

10218637440 is a wasteful number, since it uses less digits than its factorization.

10218637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10218637440 in words is "ten billion, two hundred eighteen million, six hundred thirty-seven thousand, four hundred forty".