285388181400 has 1152 divisors, whose sum is σ = 1147051584000. Its totient is φ = 58246594560.

The previous prime is 285388181399. The next prime is 285388181443. The reversal of 285388181400 is 4181883582.

It is a super-4 number, since 4×285388181400⁴ (a number of 47 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 285388181400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1246236486 + ... + 1246236714.

It is an arithmetic number, because the mean of its divisors is an integer number (995704500).

Almost surely, 2^285388181400 is an apocalyptic number.

285388181400 is a gapful number since it is divisible by the number (20) 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 285388181400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573525792000).

285388181400 is an abundant number, since it is smaller than the sum of its proper divisors (861663402600).

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

285388181400 is a wasteful number, since it uses less digits than its factorization.

285388181400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 285388181400 in words is "two hundred eighty-five billion, three hundred eighty-eight million, one hundred eighty-one thousand, four hundred".