1042262827200 has 2016 divisors, whose sum is σ = 4562154781184. Its totient is φ = 220723937280.

The previous prime is 1042262827189. The next prime is 1042262827201. The reversal of 1042262827200 is 27282622401.

1042262827200 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 628 + 2 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is not an unprimeable number, because it can be changed into a prime (1042262827201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10744977552 + ... + 10744977648.

Almost surely, 2^{1042262827200} is an apocalyptic number.

1042262827200 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 1042262827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281077390592).

1042262827200 is an abundant number, since it is smaller than the sum of its proper divisors (3519891953984).

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

1042262827200 is a wasteful number, since it uses less digits than its factorization.

1042262827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 1042262827200 in words is "one trillion, forty-two billion, two hundred sixty-two million, eight hundred twenty-seven thousand, two hundred".