1641952166400 has 1440 divisors, whose sum is σ = 7501264138368. Its totient is φ = 346374144000.

The previous prime is 1641952166399. The next prime is 1641952166431. The reversal of 1641952166400 is 46612591461.

1641952166400 is a `hidden beast` number, since 1 + 64 + 1 + 9 + 521 + 6 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 283043500 + ... + 283049300.

Almost surely, 2^{1641952166400} is an apocalyptic number.

1641952166400 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 1641952166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750632069184).

1641952166400 is an abundant number, since it is smaller than the sum of its proper divisors (5859311971968).

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

1641952166400 is an equidigital number, since it uses as much as digits as its factorization.

1641952166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1641952166400 in words is "one trillion, six hundred forty-one billion, nine hundred fifty-two million, one hundred sixty-six thousand, four hundred".