1406111616 has 512 divisors, whose sum is σ = 5428684800. Its totient is φ = 347701248.

The previous prime is 1406111611. The next prime is 1406111621. The reversal of 1406111616 is 6161116041.

It is a happy number.

1406111616 is a `hidden beast` number, since 1 + 40 + 6 + 1 + 1 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (1406111611) and next prime (1406111621).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1406111616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406111611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5346301 + ... + 5346563.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 2^1406111616 is an apocalyptic number.

1406111616 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 1406111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714342400).

1406111616 is an abundant number, since it is smaller than the sum of its proper divisors (4022573184).

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

1406111616 is a wasteful number, since it uses less digits than its factorization.

1406111616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1406111616 is about 37498.1548346049. The cubic root of 1406111616 is about 1120.3144355247.

Adding to 1406111616 its reverse (6161116041), we get a palindrome (7567227657).

The spelling of 1406111616 in words is "one billion, four hundred six million, one hundred eleven thousand, six hundred sixteen".