1415436464016 has 480 divisors, whose sum is σ = 4198731264000. Its totient is φ = 444687667200.

The previous prime is 1415436463993. The next prime is 1415436464023. The reversal of 1415436464016 is 6104646345141.

1415436464016 is a `hidden beast` number, since 1 + 4 + 1 + 543 + 64 + 6 + 40 + 1 + 6 = 666.

It is a super-2 number, since 2×1415436464016² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9499573510 + ... + 9499573658.

It is an arithmetic number, because the mean of its divisors is an integer number (8747356800).

Almost surely, 2^{1415436464016} is an apocalyptic number.

1415436464016 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 1415436464016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099365632000).

1415436464016 is an abundant number, since it is smaller than the sum of its proper divisors (2783294799984).

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

1415436464016 is a wasteful number, since it uses less digits than its factorization.

1415436464016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1415436464016 in words is "one trillion, four hundred fifteen billion, four hundred thirty-six million, four hundred sixty-four thousand, sixteen".