10634135040 has 240 divisors, whose sum is σ = 36952920576. Its totient is φ = 2826240000.

The previous prime is 10634135009. The next prime is 10634135051. The reversal of 10634135040 is 4053143601.

10634135040 is a `hidden beast` number, since 10 + 634 + 13 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10634135040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10634134995 and 10634135013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9238465 + ... + 9239615.

Almost surely, 2^10634135040 is an apocalyptic number.

10634135040 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 10634135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476460288).

10634135040 is an abundant number, since it is smaller than the sum of its proper divisors (26318785536).

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

10634135040 is a wasteful number, since it uses less digits than its factorization.

10634135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10634135040 its reverse (4053143601), we get a palindrome (14687278641).

The spelling of 10634135040 in words is "ten billion, six hundred thirty-four million, one hundred thirty-five thousand, forty".