1415144016 has 240 divisors, whose sum is σ = 4899061440. Its totient is φ = 374906880.

The previous prime is 1415143993. The next prime is 1415144053. The reversal of 1415144016 is 6104415141.

1415144016 is a `hidden beast` number, since 141 + 514 + 4 + 0 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389440 + ... + 393056.

It is an arithmetic number, because the mean of its divisors is an integer number (20412756).

Almost surely, 2^1415144016 is an apocalyptic number.

1415144016 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 1415144016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449530720).

1415144016 is an abundant number, since it is smaller than the sum of its proper divisors (3483917424).

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

1415144016 is a wasteful number, since it uses less digits than its factorization.

1415144016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1415144016 is about 37618.3999659741. The cubic root of 1415144016 is about 1122.7081615199.

Adding to 1415144016 its reverse (6104415141), we get a palindrome (7519559157).

It can be divided in two parts, 141514 and 4016, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 1415144016 in words is "one billion, four hundred fifteen million, one hundred forty-four thousand, sixteen".