1021442400 has 360 divisors, whose sum is σ = 4066474104. Its totient is φ = 247449600.

The previous prime is 1021442393. The next prime is 1021442431. The reversal of 1021442400 is 42441201.

1021442400 is a `hidden beast` number, since 10 + 214 + 42 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 712084 + ... + 713516.

Almost surely, 2^1021442400 is an apocalyptic number.

1021442400 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 1021442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033237052).

1021442400 is an abundant number, since it is smaller than the sum of its proper divisors (3045031704).

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

1021442400 is a wasteful number, since it uses less digits than its factorization.

1021442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1021442400 is about 31960.0125156421. The cubic root of 1021442400 is about 1007.0969803846.

Adding to 1021442400 its reverse (42441201), we get a palindrome (1063883601).

The spelling of 1021442400 in words is "one billion, twenty-one million, four hundred forty-two thousand, four hundred".