10450218240 has 1620 divisors, whose sum is σ = 50624007588. Its totient is φ = 2043740160.

The previous prime is 10450218217. The next prime is 10450218263. The reversal of 10450218240 is 4281205401.

10450218240 is a `hidden beast` number, since 104 + 502 + 18 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10450218217) and next prime (10450218263).

It can be written as a sum of positive squares in 2 ways, for example, as 6024243456 + 4425974784 = 77616^2 + 66528^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×10450218240² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 179 ways as a sum of consecutive naturals, for example, 614718712 + ... + 614718728.

Almost surely, 2^10450218240 is an apocalyptic number.

10450218240 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 10450218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25312003794).

10450218240 is an abundant number, since it is smaller than the sum of its proper divisors (40173789348).

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

10450218240 is a wasteful number, since it uses less digits than its factorization.

10450218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10450218240 in words is "ten billion, four hundred fifty million, two hundred eighteen thousand, two hundred forty".