6211742423040 has 3456 divisors, whose sum is σ = 29754743316480. Its totient is φ = 1167851520000.

The previous prime is 6211742423039. The next prime is 6211742423087. The reversal of 6211742423040 is 403242471126.

6211742423040 is a `hidden beast` number, since 6 + 21 + 174 + 2 + 423 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6211742422986 and 6211742423004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41137366965 + ... + 41137367115.

It is an arithmetic number, because the mean of its divisors is an integer number (8609590080).

Almost surely, 2^{6211742423040} is an apocalyptic number.

6211742423040 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 6211742423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877371658240).

6211742423040 is an abundant number, since it is smaller than the sum of its proper divisors (23543000893440).

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

6211742423040 is a wasteful number, since it uses less digits than its factorization.

6211742423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 6211742423040 its reverse (403242471126), we get a palindrome (6614984894166).

The spelling of 6211742423040 in words is "six trillion, two hundred eleven billion, seven hundred forty-two million, four hundred twenty-three thousand, forty".