1436225724416 has 224 divisors, whose sum is σ = 3360883588608. Its totient is φ = 601018859520.

The previous prime is 1436225724407. The next prime is 1436225724433. The reversal of 1436225724416 is 6144275226341.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431167871 + ... + 431171201.

It is an arithmetic number, because the mean of its divisors is an integer number (15003944592).

Almost surely, 2^{1436225724416} is an apocalyptic number.

1436225724416 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 1436225724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680441794304).

1436225724416 is an abundant number, since it is smaller than the sum of its proper divisors (1924657864192).

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

1436225724416 is an equidigital number, since it uses as much as digits as its factorization.

1436225724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3516 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 47.

The spelling of 1436225724416 in words is "one trillion, four hundred thirty-six billion, two hundred twenty-five million, seven hundred twenty-four thousand, four hundred sixteen".