385372709778240 has 280 divisors, whose sum is σ = 1371226204069920. Its totient is φ = 102736993324032.

The previous prime is 385372709778233. The next prime is 385372709778257. The reversal of 385372709778240 is 42877907273583.

385372709778240 is a `hidden beast` number, since 3 + 8 + 5 + 372 + 7 + 0 + 9 + 7 + 7 + 8 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89630319 + ... + 93831441.

Almost surely, 2^{385372709778240} is an apocalyptic number.

385372709778240 is a gapful number since it is divisible by the number (30) 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 385372709778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685613102034960).

385372709778240 is an abundant number, since it is smaller than the sum of its proper divisors (985853494291680).

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

385372709778240 is a wasteful number, since it uses less digits than its factorization.

385372709778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204691 (or 4204672 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 385372709778240 in words is "three hundred eighty-five trillion, three hundred seventy-two billion, seven hundred nine million, seven hundred seventy-eight thousand, two hundred forty".