970218432000 has 1280 divisors, whose sum is σ = 3906714240000. Its totient is φ = 236423577600.

The previous prime is 970218431993. The next prime is 970218432059. The reversal of 970218432000 is 234812079.

970218432000 is a `hidden beast` number, since 9 + 7 + 0 + 218 + 432 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 952127491 + ... + 952128509.

It is an arithmetic number, because the mean of its divisors is an integer number (3052120500).

Almost surely, 2^970218432000 is an apocalyptic number.

970218432000 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 970218432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953357120000).

970218432000 is an abundant number, since it is smaller than the sum of its proper divisors (2936495808000).

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

970218432000 is a wasteful number, since it uses less digits than its factorization.

970218432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1077 counting only the distinct ones).

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

The spelling of 970218432000 in words is "nine hundred seventy billion, two hundred eighteen million, four hundred thirty-two thousand".