61442820000 has 240 divisors, whose sum is σ = 223940566080. Its totient is φ = 16384608000.

The previous prime is 61442819947. The next prime is 61442820071. The reversal of 61442820000 is 2824416.

61442820000 is a `hidden beast` number, since 614 + 4 + 28 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 483109 + ... + 596891.

It is an arithmetic number, because the mean of its divisors is an integer number (933085692).

Almost surely, 2^61442820000 is an apocalyptic number.

61442820000 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 61442820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111970283040).

61442820000 is an abundant number, since it is smaller than the sum of its proper divisors (162497746080).

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

61442820000 is a wasteful number, since it uses less digits than its factorization.

61442820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113822 (or 113793 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 61442820000 in words is "sixty-one billion, four hundred forty-two million, eight hundred twenty thousand".