93414401280 has 288 divisors, whose sum is σ = 332149345920. Its totient is φ = 24861081600.

The previous prime is 93414401237. The next prime is 93414401287. The reversal of 93414401280 is 8210441439.

It is a happy number.

93414401280 is a `hidden beast` number, since 93 + 4 + 1 + 440 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (93414401287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19454880 + ... + 19459680.

It is an arithmetic number, because the mean of its divisors is an integer number (1153296340).

Almost surely, 2^93414401280 is an apocalyptic number.

93414401280 is a gapful number since it is divisible by the number (90) 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 93414401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166074672960).

93414401280 is an abundant number, since it is smaller than the sum of its proper divisors (238734944640).

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

93414401280 is a wasteful number, since it uses less digits than its factorization.

93414401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 93414401280 in words is "ninety-three billion, four hundred fourteen million, four hundred one thousand, two hundred eighty".