1413042332140 has 192 divisors, whose sum is σ = 3269086128000. Its totient is φ = 510973747200.

The previous prime is 1413042332129. The next prime is 1413042332147. The reversal of 1413042332140 is 412332403141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1413042332099 and 1413042332108.

It is not an unprimeable number, because it can be changed into a prime (1413042332147) 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, 1149749046 + ... + 1149750274.

It is an arithmetic number, because the mean of its divisors is an integer number (17026490250).

Almost surely, 2^{1413042332140} is an apocalyptic number.

1413042332140 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 1413042332140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634543064000).

1413042332140 is an abundant number, since it is smaller than the sum of its proper divisors (1856043795860).

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

1413042332140 is a wasteful number, since it uses less digits than its factorization.

1413042332140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1413042332140 its reverse (412332403141), we get a palindrome (1825374735281).

The spelling of 1413042332140 in words is "one trillion, four hundred thirteen billion, forty-two million, three hundred thirty-two thousand, one hundred forty".