1041036710400 has 960 divisors, whose sum is σ = 3978484646400. Its totient is φ = 266305536000.

The previous prime is 1041036710381. The next prime is 1041036710411. The reversal of 1041036710400 is 40176301401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2415398185 + ... + 2415398615.

It is an arithmetic number, because the mean of its divisors is an integer number (4144254840).

Almost surely, 2^{1041036710400} is an apocalyptic number.

1041036710400 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 1041036710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989242323200).

1041036710400 is an abundant number, since it is smaller than the sum of its proper divisors (2937447936000).

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

1041036710400 is a wasteful number, since it uses less digits than its factorization.

1041036710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 1041036710400 in words is "one trillion, forty-one billion, thirty-six million, seven hundred ten thousand, four hundred".