385326952522400 has 432 divisors, whose sum is σ = 1097003258297856. Its totient is φ = 131781126113280.

The previous prime is 385326952522363. The next prime is 385326952522429. The reversal of 385326952522400 is 4225259623583.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71264460497 + ... + 71264465903.

It is an arithmetic number, because the mean of its divisors is an integer number (2539359394208).

Almost surely, 2^{385326952522400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385326952522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548501629148928).

385326952522400 is an abundant number, since it is smaller than the sum of its proper divisors (711676305775456).

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

385326952522400 is a wasteful number, since it uses less digits than its factorization.

385326952522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9661 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 56.

The spelling of 385326952522400 in words is "three hundred eighty-five trillion, three hundred twenty-six billion, nine hundred fifty-two million, five hundred twenty-two thousand, four hundred".