1042414531200 has 1920 divisors, whose sum is σ = 4654399242240. Its totient is φ = 224695296000.

The previous prime is 1042414531121. The next prime is 1042414531211. The reversal of 1042414531200 is 21354142401.

1042414531200 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 4 + 1 + 453 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2418594985 + ... + 2418595415.

It is an arithmetic number, because the mean of its divisors is an integer number (2424166272).

Almost surely, 2^{1042414531200} is an apocalyptic number.

1042414531200 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 1042414531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327199621120).

1042414531200 is an abundant number, since it is smaller than the sum of its proper divisors (3611984711040).

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

1042414531200 is a wasteful number, since it uses less digits than its factorization.

1042414531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1042414531200 its reverse (21354142401), we get a palindrome (1063768673601).

The spelling of 1042414531200 in words is "one trillion, forty-two billion, four hundred fourteen million, five hundred thirty-one thousand, two hundred".