1055240146800 has 1440 divisors, whose sum is σ = 4499794703040. Its totient is φ = 234101145600.

The previous prime is 1055240146781. The next prime is 1055240146813. The reversal of 1055240146800 is 86410425501.

It is a happy number.

1055240146800 is a `hidden beast` number, since 1 + 0 + 552 + 40 + 1 + 4 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×1055240146800² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3131276232 + ... + 3131276568.

Almost surely, 2^{1055240146800} is an apocalyptic number.

1055240146800 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 1055240146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249897351520).

1055240146800 is an abundant number, since it is smaller than the sum of its proper divisors (3444554556240).

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

1055240146800 is a wasteful number, since it uses less digits than its factorization.

1055240146800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1055240146800 in words is "one trillion, fifty-five billion, two hundred forty million, one hundred forty-six thousand, eight hundred".