1034404542300 has 144 divisors (see below), whose sum is σ = 3005537633280. Its totient is φ = 274676616960.

The previous prime is 1034404542299. The next prime is 1034404542313. The reversal of 1034404542300 is 32454044301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78937549 + ... + 78950651.

It is an arithmetic number, because the mean of its divisors is an integer number (20871789120).

Almost surely, 2^{1034404542300} is an apocalyptic number.

1034404542300 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 1034404542300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502768816640).

1034404542300 is an abundant number, since it is smaller than the sum of its proper divisors (1971133090980).

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

1034404542300 is a wasteful number, since it uses less digits than its factorization.

1034404542300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14212 (or 14205 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1034404542300 its reverse (32454044301), we get a palindrome (1066858586601).

The spelling of 1034404542300 in words is "one trillion, thirty-four billion, four hundred four million, five hundred forty-two thousand, three hundred".