1410822128900 has 72 divisors (see below), whose sum is σ = 3125786145216. Its totient is φ = 552576816000.

The previous prime is 1410822128831. The next prime is 1410822128917. The reversal of 1410822128900 is 98212280141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488450 + ... + 1749350.

Almost surely, 2^{1410822128900} is an apocalyptic number.

1410822128900 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 1410822128900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562893072608).

1410822128900 is an abundant number, since it is smaller than the sum of its proper divisors (1714964016316).

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

1410822128900 is a wasteful number, since it uses less digits than its factorization.

1410822128900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261149 (or 1261142 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The spelling of 1410822128900 in words is "one trillion, four hundred ten billion, eight hundred twenty-two million, one hundred twenty-eight thousand, nine hundred".