1407411216 has 120 divisors (see below), whose sum is σ = 4128860736. Its totient is φ = 446688000.

The previous prime is 1407411197. The next prime is 1407411241. The reversal of 1407411216 is 6121147041.

1407411216 is a `hidden beast` number, since 1 + 407 + 41 + 1 + 216 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1407411216.

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, 830466 + ... + 832158.

Almost surely, 2^1407411216 is an apocalyptic number.

1407411216 is a gapful number since it is divisible by the number (16) 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 1407411216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064430368).

1407411216 is an abundant number, since it is smaller than the sum of its proper divisors (2721449520).

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

1407411216 is a wasteful number, since it uses less digits than its factorization.

1407411216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1407411216 is about 37515.4796850580. The cubic root of 1407411216 is about 1120.6594798053.

Adding to 1407411216 its reverse (6121147041), we get a palindrome (7528558257).

The spelling of 1407411216 in words is "one billion, four hundred seven million, four hundred eleven thousand, two hundred sixteen".