2016449510400 has 2640 divisors, whose sum is σ = 8806085263360. Its totient is φ = 451480780800.

The previous prime is 2016449510399. The next prime is 2016449510417. The reversal of 2016449510400 is 40159446102.

2016449510400 is a `hidden beast` number, since 2 + 0 + 1 + 64 + 49 + 510 + 40 + 0 = 666.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15877555137 + ... + 15877555263.

Almost surely, 2^{2016449510400} is an apocalyptic number.

2016449510400 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 2016449510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403042631680).

2016449510400 is an abundant number, since it is smaller than the sum of its proper divisors (6789635752960).

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

2016449510400 is a wasteful number, since it uses less digits than its factorization.

2016449510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2016449510400 in words is "two trillion, sixteen billion, four hundred forty-nine million, five hundred ten thousand, four hundred".