61241543400 has 192 divisors, whose sum is σ = 198393909120. Its totient is φ = 15598105600.

The previous prime is 61241543329. The next prime is 61241543431. The reversal of 61241543400 is 434514216.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 10664530 + ... + 10670270.

It is an arithmetic number, because the mean of its divisors is an integer number (1033301610).

Almost surely, 2^61241543400 is an apocalyptic number.

61241543400 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 61241543400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99196954560).

61241543400 is an abundant number, since it is smaller than the sum of its proper divisors (137152365720).

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

61241543400 is a wasteful number, since it uses less digits than its factorization.

61241543400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 6547 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 61241543400 in words is "sixty-one billion, two hundred forty-one million, five hundred forty-three thousand, four hundred".