215141040 has 120 divisors (see below), whose sum is σ = 739424400. Its totient is φ = 56028672.

The previous prime is 215141029. The next prime is 215141071. The reversal of 215141040 is 40141512.

215141040 is a `hidden beast` number, since 215 + 1 + 410 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27486 + ... + 34434.

It is an arithmetic number, because the mean of its divisors is an integer number (6161870).

Almost surely, 2^215141040 is an apocalyptic number.

215141040 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 215141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369712200).

215141040 is an abundant number, since it is smaller than the sum of its proper divisors (524283360).

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

215141040 is a wasteful number, since it uses less digits than its factorization.

215141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7011 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 215141040 is about 14667.6869342102. The cubic root of 215141040 is about 599.2036100728.

Adding to 215141040 its reverse (40141512), we get a palindrome (255282552).

The spelling of 215141040 in words is "two hundred fifteen million, one hundred forty-one thousand, forty".