1064002110400 has 84 divisors (see below), whose sum is σ = 2620320523128. Its totient is φ = 425241533440.

The previous prime is 1064002110397. The next prime is 1064002110421. The reversal of 1064002110400 is 40112004601.

It is a super-2 number, since 2×1064002110400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1619082 + ... + 2179318.

It is an arithmetic number, because the mean of its divisors is an integer number (31194291942).

Almost surely, 2^{1064002110400} is an apocalyptic number.

1064002110400 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 1064002110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310160261564).

1064002110400 is an abundant number, since it is smaller than the sum of its proper divisors (1556318412728).

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

1064002110400 is a wasteful number, since it uses less digits than its factorization.

1064002110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561446 (or 561431 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The spelling of 1064002110400 in words is "one trillion, sixty-four billion, two million, one hundred ten thousand, four hundred".