1034014300000 has 288 divisors, whose sum is σ = 2865434600448. Its totient is φ = 363864000000.

The previous prime is 1034014299949. The next prime is 1034014300009. The reversal of 1034014300000 is 34104301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034014300009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34084839 + ... + 34115161.

It is an arithmetic number, because the mean of its divisors is an integer number (9949425696).

Almost surely, 2^{1034014300000} is an apocalyptic number.

1034014300000 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 1034014300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432717300224).

1034014300000 is an abundant number, since it is smaller than the sum of its proper divisors (1831420300448).

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

1034014300000 is an equidigital number, since it uses as much as digits as its factorization.

1034014300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30400 (or 30372 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1034014300000 its reverse (34104301), we get a palindrome (1034048404301).

The spelling of 1034014300000 in words is "one trillion, thirty-four billion, fourteen million, three hundred thousand".