10140414431220 has 144 divisors (see below), whose sum is σ = 31901693660928. Its totient is φ = 2703838838400.

The previous prime is 10140414431159. The next prime is 10140414431227. The reversal of 10140414431220 is 2213441404101.

10140414431220 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 4 + 1 + 4 + 431 + 220 = 666.

It is a super-2 number, since 2×10140414431220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140414431227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50818645 + ... + 51017795.

It is an arithmetic number, because the mean of its divisors is an integer number (221539539312).

Almost surely, 2^{10140414431220} is an apocalyptic number.

10140414431220 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 10140414431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15950846830464).

10140414431220 is an abundant number, since it is smaller than the sum of its proper divisors (21761279229708).

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

10140414431220 is a wasteful number, since it uses less digits than its factorization.

10140414431220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209652 (or 209638 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10140414431220 its reverse (2213441404101), we get a palindrome (12353855835321).

The spelling of 10140414431220 in words is "ten trillion, one hundred forty billion, four hundred fourteen million, four hundred thirty-one thousand, two hundred twenty".