1442618100 has 504 divisors, whose sum is σ = 5874499008. Its totient is φ = 298598400.

The previous prime is 1442618069. The next prime is 1442618117. The reversal of 1442618100 is 18162441.

It is a happy number.

1442618100 is a `hidden beast` number, since 1 + 4 + 42 + 618 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×1442618100² = 4162293964895220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5613172 + ... + 5613428.

It is an arithmetic number, because the mean of its divisors is an integer number (11655752).

Almost surely, 2^1442618100 is an apocalyptic number.

1442618100 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 1442618100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937249504).

1442618100 is an abundant number, since it is smaller than the sum of its proper divisors (4431880908).

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

1442618100 is a wasteful number, since it uses less digits than its factorization.

1442618100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1442618100 is about 37981.8127529480. The cubic root of 1442618100 is about 1129.9271887719.

The spelling of 1442618100 in words is "one billion, four hundred forty-two million, six hundred eighteen thousand, one hundred".