10145231450040 has 128 divisors (see below), whose sum is σ = 30711201580800. Its totient is φ = 2681015608320.

The previous prime is 10145231450021. The next prime is 10145231450051. The reversal of 10145231450040 is 4005413254101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5039731 + ... + 6759389.

It is an arithmetic number, because the mean of its divisors is an integer number (239931262350).

Almost surely, 2^{10145231450040} is an apocalyptic number.

10145231450040 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 10145231450040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355600790400).

10145231450040 is an abundant number, since it is smaller than the sum of its proper divisors (20565970130760).

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

10145231450040 is a wasteful number, since it uses less digits than its factorization.

10145231450040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720117 (or 1720113 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 10145231450040 in words is "ten trillion, one hundred forty-five billion, two hundred thirty-one million, four hundred fifty thousand, forty".