6141502192400 has 120 divisors (see below), whose sum is σ = 15264492025608. Its totient is φ = 2372953600000.

The previous prime is 6141502192381. The next prime is 6141502192403. The reversal of 6141502192400 is 42912051416.

It can be written as a sum of positive squares in 12 ways, for example, as 145997353216 + 5995504839184 = 382096^2 + 2448572^2 .

It is not an unprimeable number, because it can be changed into a prime (6141502192403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197471 + ... + 3510270.

Almost surely, 2^{6141502192400} 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 6141502192400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7632246012804).

6141502192400 is an abundant number, since it is smaller than the sum of its proper divisors (9122989833208).

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

6141502192400 is a wasteful number, since it uses less digits than its factorization.

6141502192400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707901 (or 3707890 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 6141502192400 in words is "six trillion, one hundred forty-one billion, five hundred two million, one hundred ninety-two thousand, four hundred".