5214605437440 has 2560 divisors, whose sum is σ = 24024348057600. Its totient is φ = 1043422248960.

The previous prime is 5214605437427. The next prime is 5214605437453. The reversal of 5214605437440 is 447345064125.

5214605437440 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 60 + 543 + 7 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5214605437427) and next prime (5214605437453).

It is a tau number, because it is divible by the number of its divisors (2560).

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

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 255 ways as a sum of consecutive naturals, for example, 9533099247 + ... + 9533099793.

It is an arithmetic number, because the mean of its divisors is an integer number (9384510960).

Almost surely, 2^{5214605437440} 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 5214605437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12012174028800).

5214605437440 is an abundant number, since it is smaller than the sum of its proper divisors (18809742620160).

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

5214605437440 is a wasteful number, since it uses less digits than its factorization.

5214605437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 5214605437440 in words is "five trillion, two hundred fourteen billion, six hundred five million, four hundred thirty-seven thousand, four hundred forty".