1053142430340 has 1152 divisors, whose sum is σ = 4174096582656. Its totient is φ = 194890752000.

The previous prime is 1053142430317. The next prime is 1053142430369. The reversal of 1053142430340 is 430342413501.

It is a super-2 number, since 2×1053142430340² (a number of 25 digits) contains 22 as substring.

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 = 1053142430298 and 1053142430307.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1844382255 + ... + 1844382825.

It is an arithmetic number, because the mean of its divisors is an integer number (3623347728).

Almost surely, 2^{1053142430340} is an apocalyptic number.

1053142430340 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 1053142430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087048291328).

1053142430340 is an abundant number, since it is smaller than the sum of its proper divisors (3120954152316).

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

1053142430340 is a wasteful number, since it uses less digits than its factorization.

1053142430340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1053142430340 its reverse (430342413501), we get a palindrome (1483484843841).

The spelling of 1053142430340 in words is "one trillion, fifty-three billion, one hundred forty-two million, four hundred thirty thousand, three hundred forty".