61438419360 has 288 divisors, whose sum is σ = 212962696128. Its totient is φ = 16126894080.

The previous prime is 61438419337. The next prime is 61438419379. The reversal of 61438419360 is 6391483416.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39560344 + ... + 39561896.

It is an arithmetic number, because the mean of its divisors is an integer number (739453806).

Almost surely, 2^61438419360 is an apocalyptic number.

61438419360 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 61438419360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106481348064).

61438419360 is an abundant number, since it is smaller than the sum of its proper divisors (151524276768).

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

61438419360 is a wasteful number, since it uses less digits than its factorization.

61438419360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 61438419360 in words is "sixty-one billion, four hundred thirty-eight million, four hundred nineteen thousand, three hundred sixty".