1014562160640 has 576 divisors, whose sum is σ = 4123152875520. Its totient is φ = 231871610880.

The previous prime is 1014562160611. The next prime is 1014562160707. The reversal of 1014562160640 is 460612654101.

1014562160640 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 6 + 2 + 1 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1014562160595 and 1014562160604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123858945 + ... + 123867135.

It is an arithmetic number, because the mean of its divisors is an integer number (7158251520).

Almost surely, 2^{1014562160640} is an apocalyptic number.

1014562160640 is a gapful number since it is divisible by the number (10) 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 1014562160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061576437760).

1014562160640 is an abundant number, since it is smaller than the sum of its proper divisors (3108590714880).

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

1014562160640 is an frugal number, since it uses more digits than its factorization.

1014562160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1014562160640 in words is "one trillion, fourteen billion, five hundred sixty-two million, one hundred sixty thousand, six hundred forty".