10521350042040 has 192 divisors, whose sum is σ = 34335034531200. Its totient is φ = 2794164172800.

The previous prime is 10521350042009. The next prime is 10521350042107. The reversal of 10521350042040 is 4024005312501.

10521350042040 is a `hidden beast` number, since 10 + 521 + 3 + 50 + 0 + 42 + 0 + 40 = 666.

It is a super-2 number, since 2×10521350042040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10521350041995 and 10521350042013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189242566 + ... + 189298154.

It is an arithmetic number, because the mean of its divisors is an integer number (178828304850).

Almost surely, 2^{10521350042040} is an apocalyptic number.

10521350042040 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 10521350042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167517265600).

10521350042040 is an abundant number, since it is smaller than the sum of its proper divisors (23813684489160).

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

10521350042040 is a wasteful number, since it uses less digits than its factorization.

10521350042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57758 (or 57751 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10521350042040 its reverse (4024005312501), we get a palindrome (14545355354541).

The spelling of 10521350042040 in words is "ten trillion, five hundred twenty-one billion, three hundred fifty million, forty-two thousand, forty".