21493376990400 has 336 divisors, whose sum is σ = 80605977244416. Its totient is φ = 4911793582080.

The previous prime is 21493376990359. The next prime is 21493376990429. The reversal of 21493376990400 is 409967339412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 175902127 + ... + 176024273.

Almost surely, 2^{21493376990400} is an apocalyptic number.

21493376990400 is a gapful number since it is divisible by the number (20) 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 21493376990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40302988622208).

21493376990400 is an abundant number, since it is smaller than the sum of its proper divisors (59112600254016).

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

21493376990400 is a wasteful number, since it uses less digits than its factorization.

21493376990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127416 (or 127401 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 57.

The spelling of 21493376990400 in words is "twenty-one trillion, four hundred ninety-three billion, three hundred seventy-six million, nine hundred ninety thousand, four hundred".