10010004675840 has 2304 divisors, whose sum is σ = 42169636454400. Its totient is φ = 2254179041280.

The previous prime is 10010004675829. The next prime is 10010004675851. The reversal of 10010004675840 is 4857640001001.

It is a happy number.

10010004675840 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 0 + 0 + 4 + 67 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10010004675829) and next prime (10010004675851).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×10010004675840² (a number of 27 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 = 10010004675795 and 10010004675804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21434699287 + ... + 21434699753.

It is an arithmetic number, because the mean of its divisors is an integer number (18302793600).

Almost surely, 2^{10010004675840} is an apocalyptic number.

10010004675840 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 10010004675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21084818227200).

10010004675840 is an abundant number, since it is smaller than the sum of its proper divisors (32159631778560).

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

10010004675840 is an equidigital number, since it uses as much as digits as its factorization.

10010004675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 10010004675840 its reverse (4857640001001), we get a palindrome (14867644676841).

The spelling of 10010004675840 in words is "ten trillion, ten billion, four million, six hundred seventy-five thousand, eight hundred forty".