385997451840 has 3584 divisors, whose sum is σ = 2015483904000. Its totient is φ = 67722117120.

The previous prime is 385997451779. The next prime is 385997451841. The reversal of 385997451840 is 48154799583.

385997451840 is a `hidden beast` number, since 3 + 8 + 5 + 9 + 9 + 74 + 518 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385997451841) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 13310256946 + ... + 13310256974.

It is an arithmetic number, because the mean of its divisors is an integer number (562356000).

Almost surely, 2^385997451840 is an apocalyptic number.

385997451840 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 385997451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007741952000).

385997451840 is an abundant number, since it is smaller than the sum of its proper divisors (1629486452160).

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

385997451840 is a wasteful number, since it uses less digits than its factorization.

385997451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 385997451840 in words is "three hundred eighty-five billion, nine hundred ninety-seven million, four hundred fifty-one thousand, eight hundred forty".