1042751407104 has 297 divisors, whose sum is σ = 3312951905991. Its totient is φ = 315658506240.

The previous prime is 1042751407099. The next prime is 1042751407121. The reversal of 1042751407104 is 4017041572401.

The square root of 1042751407104 is 1021152.

It is a perfect power (a square), and thus also a powerful number.

1042751407104 is a `hidden beast` number, since 10 + 4 + 27 + 514 + 0 + 7 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1078336029 + ... + 1078336995.

Almost surely, 2^{1042751407104} is an apocalyptic number.

1042751407104 is the 1021152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042751407104

1042751407104 is an abundant number, since it is smaller than the sum of its proper divisors (2270200498887).

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

1042751407104 is an frugal number, since it uses more digits than its factorization.

1042751407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Multiplying 1042751407104 by its sum of digits (36), we get a square (37539050655744 = 6126912²).

1042751407104 divided by its sum of digits (36) gives a square (28965316864 = 170192²).

Adding to 1042751407104 its reverse (4017041572401), we get a palindrome (5059792979505).

The spelling of 1042751407104 in words is "one trillion, forty-two billion, seven hundred fifty-one million, four hundred seven thousand, one hundred four".