1415225665440 has 144 divisors (see below), whose sum is σ = 4844049721056. Its totient is φ = 376253222400.

The previous prime is 1415225665379. The next prime is 1415225665453. The reversal of 1415225665440 is 445665225141.

1415225665440 is a `hidden beast` number, since 1 + 4 + 1 + 52 + 2 + 56 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1415225665440³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1007946 + ... + 1961225.

It is an arithmetic number, because the mean of its divisors is an integer number (33639234174).

Almost surely, 2^{1415225665440} is an apocalyptic number.

1415225665440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1415225665440 is an abundant number, since it is smaller than the sum of its proper divisors (3428824055616).

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

1415225665440 is a wasteful number, since it uses less digits than its factorization.

1415225665440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969523 (or 2969512 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 1415225665440 in words is "one trillion, four hundred fifteen billion, two hundred twenty-five million, six hundred sixty-five thousand, four hundred forty".