61408288830000 has 400 divisors, whose sum is σ = 226705605984000. Its totient is φ = 14026744704000.

The previous prime is 61408288829911. The next prime is 61408288830011. The reversal of 61408288830000 is 3888280416.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 314692462 + ... + 314887538.

It is an arithmetic number, because the mean of its divisors is an integer number (566764014960).

Almost surely, 2^{61408288830000} is an apocalyptic number.

61408288830000 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 61408288830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113352802992000).

61408288830000 is an abundant number, since it is smaller than the sum of its proper divisors (165297317154000).

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

61408288830000 is a wasteful number, since it uses less digits than its factorization.

61408288830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196614 (or 196593 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 61408288830000 in words is "sixty-one trillion, four hundred eight billion, two hundred eighty-eight million, eight hundred thirty thousand".