1288016461007 has 16 divisors (see below), whose sum is σ = 1401086131200. Its totient is φ = 1179561553920.

The previous prime is 1288016461001. The next prime is 1288016461051. The reversal of 1288016461007 is 7001646108821.

It is a cyclic number.

It is not a de Polignac number, because 1288016461007 - 2⁶ = 1288016460943 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288016461001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671282 + ... + 1739727.

It is an arithmetic number, because the mean of its divisors is an integer number (87567883200).

Almost surely, 2^{1288016461007} is an apocalyptic number.

1288016461007 is a deficient number, since it is larger than the sum of its proper divisors (113069670193).

1288016461007 is a wasteful number, since it uses less digits than its factorization.

1288016461007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411966.

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 1288016461007 in words is "one trillion, two hundred eighty-eight billion, sixteen million, four hundred sixty-one thousand, seven".