79421126400 has 1728 divisors, whose sum is σ = 373736079360. Its totient is φ = 16024780800.

The previous prime is 79421126359. The next prime is 79421126401. The reversal of 79421126400 is 462112497.

It is a happy number.

79421126400 is a `hidden beast` number, since 7 + 9 + 4 + 2 + 1 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79421126401) 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 191 ways as a sum of consecutive naturals, for example, 625363137 + ... + 625363263.

Almost surely, 2^79421126400 is an apocalyptic number.

79421126400 is a gapful number since it is divisible by the number (70) 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 79421126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186868039680).

79421126400 is an abundant number, since it is smaller than the sum of its proper divisors (294314952960).

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

79421126400 is a wasteful number, since it uses less digits than its factorization.

79421126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 79421126400 its reverse (462112497), we get a palindrome (79883238897).

The spelling of 79421126400 in words is "seventy-nine billion, four hundred twenty-one million, one hundred twenty-six thousand, four hundred".