5614080872400 has 4800 divisors, whose sum is σ = 28805836308480. Its totient is φ = 1009561190400.

The previous prime is 5614080872357. The next prime is 5614080872419. The reversal of 5614080872400 is 42780804165.

5614080872400 is a `hidden beast` number, since 5 + 61 + 40 + 80 + 8 + 72 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 44205361137 + ... + 44205361263.

Almost surely, 2^{5614080872400} is an apocalyptic number.

5614080872400 is a gapful number since it is divisible by the number (50) 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 5614080872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14402918154240).

5614080872400 is an abundant number, since it is smaller than the sum of its proper divisors (23191755436080).

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

5614080872400 is a wasteful number, since it uses less digits than its factorization.

5614080872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 5614080872400 in words is "five trillion, six hundred fourteen billion, eighty million, eight hundred seventy-two thousand, four hundred".