971430364800 has 384 divisors, whose sum is σ = 4063048579200. Its totient is φ = 222041088000.

The previous prime is 971430364799. The next prime is 971430364831. The reversal of 971430364800 is 8463034179.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×971430364800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198301 + ... + 1407900.

It is an arithmetic number, because the mean of its divisors is an integer number (10580855675).

Almost surely, 2^971430364800 is an apocalyptic number.

971430364800 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 971430364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031524289600).

971430364800 is an abundant number, since it is smaller than the sum of its proper divisors (3091618214400).

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

971430364800 is a wasteful number, since it uses less digits than its factorization.

971430364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606241 (or 1606218 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

Adding to 971430364800 its reverse (8463034179), we get a palindrome (979893398979).

The spelling of 971430364800 in words is "nine hundred seventy-one billion, four hundred thirty million, three hundred sixty-four thousand, eight hundred".