10200442014 has 120 divisors (see below), whose sum is σ = 26483903160. Its totient is φ = 2835199584.

The previous prime is 10200442013. The next prime is 10200442019. The reversal of 10200442014 is 41024400201.

10200442014 is a `hidden beast` number, since 10 + 200 + 442 + 0 + 14 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200442013) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1595877 + ... + 1602255.

It is an arithmetic number, because the mean of its divisors is an integer number (220699193).

Almost surely, 2^10200442014 is an apocalyptic number.

10200442014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200442014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13241951580).

10200442014 is an abundant number, since it is smaller than the sum of its proper divisors (16283461146).

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

10200442014 is an equidigital number, since it uses as much as digits as its factorization.

10200442014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6452 (or 6428 counting only the distinct ones).

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

Adding to 10200442014 its reverse (41024400201), we get a palindrome (51224842215).

The spelling of 10200442014 in words is "ten billion, two hundred million, four hundred forty-two thousand, fourteen".