1521400214200 has 96 divisors (see below), whose sum is σ = 3691507478400. Its totient is φ = 582028684160.

The previous prime is 1521400214107. The next prime is 1521400214239. The reversal of 1521400214200 is 24120041251.

It is a super-2 number, since 2×1521400214200² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 50598771 + ... + 50628829.

It is an arithmetic number, because the mean of its divisors is an integer number (38453202900).

Almost surely, 2^{1521400214200} is an apocalyptic number.

1521400214200 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 1521400214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845753739200).

1521400214200 is an abundant number, since it is smaller than the sum of its proper divisors (2170107264200).

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

1521400214200 is a wasteful number, since it uses less digits than its factorization.

1521400214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41101 (or 41092 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 1521400214200 its reverse (24120041251), we get a palindrome (1545520255451).

The spelling of 1521400214200 in words is "one trillion, five hundred twenty-one billion, four hundred million, two hundred fourteen thousand, two hundred".