2141683610400 has 396 divisors, whose sum is σ = 7842706382322. Its totient is φ = 571103032320.

The previous prime is 2141683610369. The next prime is 2141683610441. The reversal of 2141683610400 is 40163861412.

2141683610400 is a `hidden beast` number, since 21 + 4 + 16 + 8 + 3 + 610 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1765507468176 + 376176142224 = 1328724^2 + 613332^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 47216532 + ... + 47261868.

Almost surely, 2^{2141683610400} is an apocalyptic number.

2141683610400 is a gapful number since it is divisible by the number (20) 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 2141683610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921353191161).

2141683610400 is an abundant number, since it is smaller than the sum of its proper divisors (5701022771922).

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

2141683610400 is an frugal number, since it uses more digits than its factorization.

2141683610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45387 (or 45347 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2141683610400 in words is "two trillion, one hundred forty-one billion, six hundred eighty-three million, six hundred ten thousand, four hundred".