1020441400 has 144 divisors (see below), whose sum is σ = 2634597000. Its totient is φ = 367276800.

The previous prime is 1020441361. The next prime is 1020441413. The reversal of 1020441400 is 41440201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3605659 + ... + 3605941.

Almost surely, 2^1020441400 is an apocalyptic number.

1020441400 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 1020441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317298500).

1020441400 is an abundant number, since it is smaller than the sum of its proper divisors (1614155600).

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

1020441400 is a wasteful number, since it uses less digits than its factorization.

1020441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1020441400 is about 31944.3484829477. The cubic root of 1020441400 is about 1006.7678923008.

Adding to 1020441400 its reverse (41440201), we get a palindrome (1061881601).

The spelling of 1020441400 in words is "one billion, twenty million, four hundred forty-one thousand, four hundred".