1621343822400 has 693 divisors, whose sum is σ = 6030274903993. Its totient is φ = 429057907200.

The previous prime is 1621343822393. The next prime is 1621343822419. The reversal of 1621343822400 is 42283431261.

The square root of 1621343822400 is 1273320.

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

1621343822400 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 34 + 382 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 583683776064 + 1037660046336 = 763992^2 + 1018656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 12376670335 + ... + 12376670465.

Almost surely, 2^{1621343822400} is an apocalyptic number.

1621343822400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1621343822400 is the 1273320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1621343822400

1621343822400 is an abundant number, since it is smaller than the sum of its proper divisors (4408931081593).

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

1621343822400 is an frugal number, since it uses more digits than its factorization.

1621343822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 1621343822400 by its sum of digits (36), we get a square (58368377606400 = 7639920²).

1621343822400 divided by its sum of digits (36) gives a square (45037328400 = 212220²).

The spelling of 1621343822400 in words is "one trillion, six hundred twenty-one billion, three hundred forty-three million, eight hundred twenty-two thousand, four hundred".