6141542400 has 864 divisors, whose sum is σ = 27097280730. Its totient is φ = 1321205760.

The previous prime is 6141542399. The next prime is 6141542437. The reversal of 6141542400 is 42451416.

6141542400 is a `hidden beast` number, since 6 + 1 + 415 + 4 + 240 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5267275776 + 874266624 = 72576^2 + 29568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 361267192 + ... + 361267208.

Almost surely, 2^6141542400 is an apocalyptic number.

6141542400 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 6141542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13548640365).

6141542400 is an abundant number, since it is smaller than the sum of its proper divisors (20955738330).

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

6141542400 is a wasteful number, since it uses less digits than its factorization.

6141542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6141542400 is about 78367.9934667208. The cubic root of 6141542400 is about 1831.2985498123.

Adding to 6141542400 its reverse (42451416), we get a palindrome (6183993816).

The spelling of 6141542400 in words is "six billion, one hundred forty-one million, five hundred forty-two thousand, four hundred".