10315140030432 has 288 divisors, whose sum is σ = 30589629557760. Its totient is φ = 3293136000000.

The previous prime is 10315140030367. The next prime is 10315140030449. The reversal of 10315140030432 is 23403004151301.

It is a happy number.

10315140030432 is a `hidden beast` number, since 1 + 0 + 315 + 1 + 40 + 0 + 304 + 3 + 2 = 666.

10315140030432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10315140030432² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10315140030396 and 10315140030405.

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, 947119707 + ... + 947130597.

It is an arithmetic number, because the mean of its divisors is an integer number (106213991520).

Almost surely, 2^{10315140030432} is an apocalyptic number.

10315140030432 is a gapful number since it is divisible by the number (12) 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 10315140030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294814778880).

10315140030432 is an abundant number, since it is smaller than the sum of its proper divisors (20274489527328).

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

10315140030432 is a wasteful number, since it uses less digits than its factorization.

10315140030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11838 (or 11827 counting only the distinct ones).

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

Adding to 10315140030432 its reverse (23403004151301), we get a palindrome (33718144181733).

The spelling of 10315140030432 in words is "ten trillion, three hundred fifteen billion, one hundred forty million, thirty thousand, four hundred thirty-two".