1041121031040 has 384 divisors, whose sum is σ = 3664845475200. Its totient is φ = 272296636416.

The previous prime is 1041121031033. The next prime is 1041121031051. The reversal of 1041121031040 is 401301211401.

1041121031040 is a `hidden beast` number, since 1 + 0 + 411 + 210 + 3 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66445287 + ... + 66460953.

It is an arithmetic number, because the mean of its divisors is an integer number (9543868425).

Almost surely, 2^{1041121031040} is an apocalyptic number.

1041121031040 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 1041121031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832422737600).

1041121031040 is an abundant number, since it is smaller than the sum of its proper divisors (2623724444160).

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

1041121031040 is a wasteful number, since it uses less digits than its factorization.

1041121031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15914 (or 15899 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1041121031040 its reverse (401301211401), we get a palindrome (1442422242441).

The spelling of 1041121031040 in words is "one trillion, forty-one billion, one hundred twenty-one million, thirty-one thousand, forty".