1034214012432 has 120 divisors (see below), whose sum is σ = 2962024156416. Its totient is φ = 336709260288.

The previous prime is 1034214012389. The next prime is 1034214012457. The reversal of 1034214012432 is 2342104124301.

1034214012432 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 214 + 0 + 12 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1034214012396 and 1034214012405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3139128 + ... + 3452904.

Almost surely, 2^{1034214012432} is an apocalyptic number.

1034214012432 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 1034214012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481012078208).

1034214012432 is an abundant number, since it is smaller than the sum of its proper divisors (1927810143984).

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

1034214012432 is a wasteful number, since it uses less digits than its factorization.

1034214012432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314325 (or 314316 counting only the distinct ones).

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

Adding to 1034214012432 its reverse (2342104124301), we get a palindrome (3376318136733).

The spelling of 1034214012432 in words is "one trillion, thirty-four billion, two hundred fourteen million, twelve thousand, four hundred thirty-two".