40284160 has 104 divisors (see below), whose sum is σ = 110873376. Its totient is φ = 13762560.

The previous prime is 40284151. The next prime is 40284173. The reversal of 40284160 is 6148204.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143220 + ... + 143500.

Almost surely, 2^40284160 is an apocalyptic number.

40284160 is a gapful number since it is divisible by the number (40) 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 40284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55436688).

40284160 is an abundant number, since it is smaller than the sum of its proper divisors (70589216).

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

40284160 is an equidigital number, since it uses as much as digits as its factorization.

40284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 40284160 is about 6346.9803844033. The cubic root of 40284160 is about 342.8031237646.

The spelling of 40284160 in words is "forty million, two hundred eighty-four thousand, one hundred sixty".