4214197370880 has 1440 divisors, whose sum is σ = 17761559437440. Its totient is φ = 903704739840.

The previous prime is 4214197370879. The next prime is 4214197370921. The reversal of 4214197370880 is 880737914124.

4214197370880 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 197 + 370 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5537709700 + ... + 5537710460.

It is an arithmetic number, because the mean of its divisors is an integer number (12334416276).

Almost surely, 2^{4214197370880} is an apocalyptic number.

4214197370880 is a gapful number since it is divisible by the number (40) 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 4214197370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8880779718720).

4214197370880 is an abundant number, since it is smaller than the sum of its proper divisors (13547362066560).

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

4214197370880 is a wasteful number, since it uses less digits than its factorization.

4214197370880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 4214197370880 in words is "four trillion, two hundred fourteen billion, one hundred ninety-seven million, three hundred seventy thousand, eight hundred eighty".