6142225489920 has 1120 divisors, whose sum is σ = 25111401316848. Its totient is φ = 1422825357312.

The previous prime is 6142225489913. The next prime is 6142225489943. The reversal of 6142225489920 is 299845222416.

6142225489920 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 2 + 2 + 548 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1252537012224 + 4889688477696 = 1119168^2 + 2211264^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 733220772 + ... + 733229148.

Almost surely, 2^{6142225489920} is an apocalyptic number.

6142225489920 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 6142225489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555700658424).

6142225489920 is an abundant number, since it is smaller than the sum of its proper divisors (18969175826928).

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

6142225489920 is a wasteful number, since it uses less digits than its factorization.

6142225489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450 (or 8417 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6142225489920 in words is "six trillion, one hundred forty-two billion, two hundred twenty-five million, four hundred eighty-nine thousand, nine hundred twenty".