1010414120232 has 128 divisors (see below), whose sum is σ = 2870015846400. Its totient is φ = 293714668800.

The previous prime is 1010414120207. The next prime is 1010414120263. The reversal of 1010414120232 is 2320214140101.

It is a junction number, because it is equal to n+sod(n) for n = 1010414120199 and 1010414120208.

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, 34932 + ... + 1421987.

It is an arithmetic number, because the mean of its divisors is an integer number (22421998800).

Almost surely, 2^{1010414120232} is an apocalyptic number.

1010414120232 is a gapful number since it is divisible by the number (12) 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 1010414120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435007923200).

1010414120232 is an abundant number, since it is smaller than the sum of its proper divisors (1859601726168).

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

1010414120232 is a wasteful number, since it uses less digits than its factorization.

1010414120232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457047 (or 1457043 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1010414120232 its reverse (2320214140101), we get a palindrome (3330628260333).

The spelling of 1010414120232 in words is "one trillion, ten billion, four hundred fourteen million, one hundred twenty thousand, two hundred thirty-two".