1014412032432 has 160 divisors (see below), whose sum is σ = 2956232217600. Its totient is φ = 332973856512.

The previous prime is 1014412032353. The next prime is 1014412032437. The reversal of 1014412032432 is 2342302144101.

1014412032432 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 412 + 0 + 3 + 243 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1014412032396 and 1014412032405.

It is not an unprimeable number, because it can be changed into a prime (1014412032437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130736169 + ... + 130743927.

It is an arithmetic number, because the mean of its divisors is an integer number (18476451360).

Almost surely, 2^{1014412032432} is an apocalyptic number.

1014412032432 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 1014412032432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478116108800).

1014412032432 is an abundant number, since it is smaller than the sum of its proper divisors (1941820185168).

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

1014412032432 is a wasteful number, since it uses less digits than its factorization.

1014412032432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12360 (or 12348 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1014412032432 its reverse (2342302144101), we get a palindrome (3356714176533).

The spelling of 1014412032432 in words is "one trillion, fourteen billion, four hundred twelve million, thirty-two thousand, four hundred thirty-two".