5214173437440 has 640 divisors, whose sum is σ = 20220445808640. Its totient is φ = 1263071232000.

The previous prime is 5214173437381. The next prime is 5214173437457. The reversal of 5214173437440 is 447343714125.

5214173437440 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 173 + 4 + 37 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 1787510862 + ... + 1787513778.

It is an arithmetic number, because the mean of its divisors is an integer number (31594446576).

Almost surely, 2^{5214173437440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5214173437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10110222904320).

5214173437440 is an abundant number, since it is smaller than the sum of its proper divisors (15006272371200).

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

5214173437440 is a wasteful number, since it uses less digits than its factorization.

5214173437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5311 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 5214173437440 in words is "five trillion, two hundred fourteen billion, one hundred seventy-three million, four hundred thirty-seven thousand, four hundred forty".