6142953311040 has 1792 divisors, whose sum is σ = 25906341888000. Its totient is φ = 1204386693120.

The previous prime is 6142953311029. The next prime is 6142953311069. The reversal of 6142953311040 is 401133592416.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6142953311040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17111290381 + ... + 17111290739.

It is an arithmetic number, because the mean of its divisors is an integer number (14456664000).

Almost surely, 2^{6142953311040} is an apocalyptic number.

6142953311040 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 6142953311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12953170944000).

6142953311040 is an abundant number, since it is smaller than the sum of its proper divisors (19763388576960).

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

6142953311040 is a wasteful number, since it uses less digits than its factorization.

6142953311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 6142953311040 in words is "six trillion, one hundred forty-two billion, nine hundred fifty-three million, three hundred eleven thousand, forty".