1418266628100 has 729 divisors, whose sum is σ = 5320401449727. Its totient is φ = 315086204160.

The previous prime is 1418266628071. The next prime is 1418266628161. The reversal of 1418266628100 is 18266628141.

It is a happy number.

The square root of 1418266628100 is 1190910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10683703044 + 1407582925056 = 103362^2 + 1186416^2 .

It is a super-2 number, since 2×1418266628100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 13254828247 + ... + 13254828353.

Almost surely, 2^{1418266628100} is an apocalyptic number.

1418266628100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1418266628100 is the 1190910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1418266628100

1418266628100 is an abundant number, since it is smaller than the sum of its proper divisors (3902134821627).

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

1418266628100 is a wasteful number, since it uses less digits than its factorization.

1418266628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

It can be divided in two parts, 141 and 8266628100, that added together give a square (8266628241 = 90921²).

The spelling of 1418266628100 in words is "one trillion, four hundred eighteen billion, two hundred sixty-six million, six hundred twenty-eight thousand, one hundred".