1040961124224 has 960 divisors, whose sum is σ = 3752493275520. Its totient is φ = 285310771200.

The previous prime is 1040961124201. The next prime is 1040961124241. The reversal of 1040961124224 is 4224211690401.

1040961124224 is a `hidden beast` number, since 1 + 0 + 409 + 6 + 1 + 1 + 24 + 224 = 666.

1040961124224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2472591534 + ... + 2472591954.

It is an arithmetic number, because the mean of its divisors is an integer number (3908847162).

Almost surely, 2^{1040961124224} is an apocalyptic number.

1040961124224 is a gapful number since it is divisible by the number (14) 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 1040961124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876246637760).

1040961124224 is an abundant number, since it is smaller than the sum of its proper divisors (2711532151296).

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

1040961124224 is a wasteful number, since it uses less digits than its factorization.

1040961124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1040961124224 in words is "one trillion, forty billion, nine hundred sixty-one million, one hundred twenty-four thousand, two hundred twenty-four".