5349149245440 has 2432 divisors, whose sum is σ = 25705330237440. Its totient is φ = 1019215872000.

The previous prime is 5349149245403. The next prime is 5349149245469. The reversal of 5349149245440 is 445429419435.

5349149245440 is a `hidden beast` number, since 5 + 3 + 4 + 9 + 1 + 4 + 92 + 4 + 544 + 0 = 666.

It is a super-2 number, since 2×5349149245440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35424829365 + ... + 35424829515.

It is an arithmetic number, because the mean of its divisors is an integer number (10569625920).

Almost surely, 2^{5349149245440} 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 5349149245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852665118720).

5349149245440 is an abundant number, since it is smaller than the sum of its proper divisors (20356180992000).

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

5349149245440 is a wasteful number, since it uses less digits than its factorization.

5349149245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 5349149245440 in words is "five trillion, three hundred forty-nine billion, one hundred forty-nine million, two hundred forty-five thousand, four hundred forty".