10145231034240 has 128 divisors (see below), whose sum is σ = 32820579918720. Its totient is φ = 2665015879680.

The previous prime is 10145231034199. The next prime is 10145231034271. The reversal of 10145231034240 is 4243013254101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10145231034198 and 10145231034207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39304006 + ... + 39561285.

It is an arithmetic number, because the mean of its divisors is an integer number (256410780615).

Almost surely, 2^{10145231034240} is an apocalyptic number.

10145231034240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145231034240 is an abundant number, since it is smaller than the sum of its proper divisors (22675348884480).

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

10145231034240 is an equidigital number, since it uses as much as digits as its factorization.

10145231034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78865380 (or 78865368 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10145231034240 its reverse (4243013254101), we get a palindrome (14388244288341).

The spelling of 10145231034240 in words is "ten trillion, one hundred forty-five billion, two hundred thirty-one million, thirty-four thousand, two hundred forty".