1414020100 has 36 divisors (see below), whose sum is σ = 3079404468. Its totient is φ = 563584000.

The previous prime is 1414020079. The next prime is 1414020107. The reversal of 1414020100 is 10204141.

It can be written as a sum of positive squares in 6 ways, for example, as 3717184 + 1410302916 = 1928^2 + 37554^2 .

It is not an unprimeable number, because it can be changed into a prime (1414020107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2940 + ... + 53260.

It is an arithmetic number, because the mean of its divisors is an integer number (85539013).

Almost surely, 2^1414020100 is an apocalyptic number.

1414020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414020100 is an abundant number, since it is smaller than the sum of its proper divisors (1665384368).

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

1414020100 is a wasteful number, since it uses less digits than its factorization.

1414020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50616 (or 50609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1414020100 is about 37603.4586175261. The cubic root of 1414020100 is about 1122.4108622461.

Adding to 1414020100 its reverse (10204141), we get a palindrome (1424224241).

The spelling of 1414020100 in words is "one billion, four hundred fourteen million, twenty thousand, one hundred".