1403064666864 has 320 divisors, whose sum is σ = 4879539118080. Its totient is φ = 377458237440.

The previous prime is 1403064666791. The next prime is 1403064666911. The reversal of 1403064666864 is 4686664603041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1403064666864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3266272 + ... + 3670784.

It is an arithmetic number, because the mean of its divisors is an integer number (15248559744).

Almost surely, 2^{1403064666864} is an apocalyptic number.

1403064666864 is a gapful number since it is divisible by the number (14) 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 1403064666864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439769559040).

1403064666864 is an abundant number, since it is smaller than the sum of its proper divisors (3476474451216).

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

1403064666864 is a wasteful number, since it uses less digits than its factorization.

1403064666864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404605 (or 404593 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 1403064666864 in words is "one trillion, four hundred three billion, sixty-four million, six hundred sixty-six thousand, eight hundred sixty-four".