1626812328400 has 270 divisors, whose sum is σ = 4752825332262. Its totient is φ = 533510208000.

The previous prime is 1626812328371. The next prime is 1626812328403. The reversal of 1626812328400 is 48232186261.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2523253824 + 1624289074576 = 50232^2 + 1274476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1626812328403) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 10289950 + ... + 10446850.

Almost surely, 2^{1626812328400} is an apocalyptic number.

1626812328400 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 1626812328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376412666131).

1626812328400 is an abundant number, since it is smaller than the sum of its proper divisors (3126013003862).

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

1626812328400 is a wasteful number, since it uses less digits than its factorization.

1626812328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156979 (or 156938 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 1626812328400 in words is "one trillion, six hundred twenty-six billion, eight hundred twelve million, three hundred twenty-eight thousand, four hundred".