4211515440 has 240 divisors, whose sum is σ = 15492222720. Its totient is φ = 1016824320.

The previous prime is 4211515393. The next prime is 4211515523. The reversal of 4211515440 is 445151124.

4211515440 is a `hidden beast` number, since 4 + 2 + 115 + 1 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 2240421 + ... + 2242299.

It is an arithmetic number, because the mean of its divisors is an integer number (64550928).

Almost surely, 2^4211515440 is an apocalyptic number.

4211515440 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 4211515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7746111360).

4211515440 is an abundant number, since it is smaller than the sum of its proper divisors (11280707280).

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

4211515440 is a wasteful number, since it uses less digits than its factorization.

4211515440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4211515440 is about 64896.1897186576. The cubic root of 4211515440 is about 1614.9018513009.

Adding to 4211515440 its reverse (445151124), we get a palindrome (4656666564).

The spelling of 4211515440 in words is "four billion, two hundred eleven million, five hundred fifteen thousand, four hundred forty".