385057651440 has 480 divisors, whose sum is σ = 1508826428928. Its totient is φ = 79514265600.

The previous prime is 385057651417. The next prime is 385057651481. The reversal of 385057651440 is 44156750583.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 385057651440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33128830 + ... + 33140450.

Almost surely, 2^385057651440 is an apocalyptic number.

385057651440 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 385057651440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754413214464).

385057651440 is an abundant number, since it is smaller than the sum of its proper divisors (1123768777488).

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

385057651440 is a wasteful number, since it uses less digits than its factorization.

385057651440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11829 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 385057651440 in words is "three hundred eighty-five billion, fifty-seven million, six hundred fifty-one thousand, four hundred forty".