6409014998400 has 576 divisors, whose sum is σ = 26151278755680. Its totient is φ = 1464050810880.

The previous prime is 6409014998381. The next prime is 6409014998401. The reversal of 6409014998400 is 48994109046.

It is a happy number.

6409014998400 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 0 + 149 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6409014998401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 378394732 + ... + 378411668.

Almost surely, 2^{6409014998400} is an apocalyptic number.

6409014998400 is a gapful number since it is divisible by the number (60) 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 6409014998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075639377840).

6409014998400 is an abundant number, since it is smaller than the sum of its proper divisors (19742263757280).

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

6409014998400 is a wasteful number, since it uses less digits than its factorization.

6409014998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18851 (or 18831 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 6409014998400 in words is "six trillion, four hundred nine billion, fourteen million, nine hundred ninety-eight thousand, four hundred".