1041551596800 has 1944 divisors, whose sum is σ = 4493346032448. Its totient is φ = 228114432000.

The previous prime is 1041551596781. The next prime is 1041551596819. The reversal of 1041551596800 is 86951551401.

1041551596800 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 5 + 51 + 596 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1041551596781) and next prime (1041551596819).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7602566332 + ... + 7602566468.

It is an arithmetic number, because the mean of its divisors is an integer number (2311391992).

Almost surely, 2^{1041551596800} is an apocalyptic number.

1041551596800 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 1041551596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246673016224).

1041551596800 is an abundant number, since it is smaller than the sum of its proper divisors (3451794435648).

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

1041551596800 is a wasteful number, since it uses less digits than its factorization.

1041551596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 1041551596800 in words is "one trillion, forty-one billion, five hundred fifty-one million, five hundred ninety-six thousand, eight hundred".