1014430140024 has 256 divisors, whose sum is σ = 3137467392000. Its totient is φ = 267102904320.

The previous prime is 1014430140023. The next prime is 1014430140067. The reversal of 1014430140024 is 4200410344101.

It is a super-2 number, since 2×1014430140024² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1014430139976 and 1014430140003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014430140023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10979332 + ... + 11071340.

It is an arithmetic number, because the mean of its divisors is an integer number (12255732000).

Almost surely, 2^{1014430140024} is an apocalyptic number.

1014430140024 is a gapful number since it is divisible by the number (14) 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 1014430140024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568733696000).

1014430140024 is an abundant number, since it is smaller than the sum of its proper divisors (2123037251976).

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

1014430140024 is a wasteful number, since it uses less digits than its factorization.

1014430140024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92158 (or 92154 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1014430140024 its reverse (4200410344101), we get a palindrome (5214840484125).

The spelling of 1014430140024 in words is "one trillion, fourteen billion, four hundred thirty million, one hundred forty thousand, twenty-four".