2013441494400 has 1920 divisors, whose sum is σ = 8799723567360. Its totient is φ = 443816755200.

The previous prime is 2013441494387. The next prime is 2013441494431. The reversal of 2013441494400 is 44941443102.

It is a happy number.

2013441494400 is a `hidden beast` number, since 2 + 0 + 134 + 41 + 49 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 10220515102 + ... + 10220515298.

It is an arithmetic number, because the mean of its divisors is an integer number (4583189358).

Almost surely, 2^{2013441494400} is an apocalyptic number.

2013441494400 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 2013441494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399861783680).

2013441494400 is an abundant number, since it is smaller than the sum of its proper divisors (6786282072960).

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

2013441494400 is a wasteful number, since it uses less digits than its factorization.

2013441494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2013441494400 in words is "two trillion, thirteen billion, four hundred forty-one million, four hundred ninety-four thousand, four hundred".