1964110856400 has 1440 divisors, whose sum is σ = 9187811942400. Its totient is φ = 376159334400.

The previous prime is 1964110856333. The next prime is 1964110856429. The reversal of 1964110856400 is 46580114691.

1964110856400 is a `hidden beast` number, since 1 + 96 + 4 + 1 + 108 + 56 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 194866561 + ... + 194876639.

It is an arithmetic number, because the mean of its divisors is an integer number (6380424960).

Almost surely, 2^{1964110856400} is an apocalyptic number.

1964110856400 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 1964110856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593905971200).

1964110856400 is an abundant number, since it is smaller than the sum of its proper divisors (7223701086000).

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

1964110856400 is a wasteful number, since it uses less digits than its factorization.

1964110856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10177 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1964110856400 in words is "one trillion, nine hundred sixty-four billion, one hundred ten million, eight hundred fifty-six thousand, four hundred".