6161862452400 has 1440 divisors, whose sum is σ = 24136140188160. Its totient is φ = 1448175697920.

The previous prime is 6161862452377. The next prime is 6161862452407. The reversal of 6161862452400 is 42542681616.

It is a happy number.

6161862452400 is a `hidden beast` number, since 6 + 1 + 6 + 18 + 624 + 5 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6161862452407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20071213047 + ... + 20071213353.

It is an arithmetic number, because the mean of its divisors is an integer number (16761208464).

Almost surely, 2^{6161862452400} is an apocalyptic number.

6161862452400 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 6161862452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068070094080).

6161862452400 is an abundant number, since it is smaller than the sum of its proper divisors (17974277735760).

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

6161862452400 is a wasteful number, since it uses less digits than its factorization.

6161862452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 6161862452400 in words is "six trillion, one hundred sixty-one billion, eight hundred sixty-two million, four hundred fifty-two thousand, four hundred".