1042340015200 has 576 divisors, whose sum is σ = 3008687431680. Its totient is φ = 348530688000.

The previous prime is 1042340015177. The next prime is 1042340015237. The reversal of 1042340015200 is 25100432401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2625541402 + ... + 2625541798.

It is an arithmetic number, because the mean of its divisors is an integer number (5223415680).

Almost surely, 2^{1042340015200} is an apocalyptic number.

1042340015200 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 1042340015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504343715840).

1042340015200 is an abundant number, since it is smaller than the sum of its proper divisors (1966347416480).

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

1042340015200 is a wasteful number, since it uses less digits than its factorization.

1042340015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 1042340015200 its reverse (25100432401), we get a palindrome (1067440447601).

The spelling of 1042340015200 in words is "one trillion, forty-two billion, three hundred forty million, fifteen thousand, two hundred".