385337917440 has 1440 divisors, whose sum is σ = 1699139623104. Its totient is φ = 81537269760.

The previous prime is 385337917427. The next prime is 385337917469. The reversal of 385337917440 is 44719733583.

385337917440 is a `hidden beast` number, since 3 + 85 + 3 + 37 + 91 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×385337917440⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6317015010 + ... + 6317015070.

Almost surely, 2^385337917440 is an apocalyptic number.

385337917440 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 385337917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849569811552).

385337917440 is an abundant number, since it is smaller than the sum of its proper divisors (1313801705664).

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

385337917440 is an frugal number, since it uses more digits than its factorization.

385337917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 385337917440 in words is "three hundred eighty-five billion, three hundred thirty-seven million, nine hundred seventeen thousand, four hundred forty".