6140178570240 has 2816 divisors, whose sum is σ = 27549536071680. Its totient is φ = 1284636672000.

The previous prime is 6140178570217. The next prime is 6140178570247. The reversal of 6140178570240 is 420758710416.

6140178570240 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 1 + 78 + 570 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×6140178570240² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140178570247) by changing a digit.

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, 40663434165 + ... + 40663434315.

Almost surely, 2^{6140178570240} is an apocalyptic number.

6140178570240 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 6140178570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774768035840).

6140178570240 is an abundant number, since it is smaller than the sum of its proper divisors (21409357501440).

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

6140178570240 is a wasteful number, since it uses less digits than its factorization.

6140178570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 6140178570240 in words is "six trillion, one hundred forty billion, one hundred seventy-eight million, five hundred seventy thousand, two hundred forty".