61445514240 has 528 divisors, whose sum is σ = 233689712256. Its totient is φ = 14804582400.

The previous prime is 61445514203. The next prime is 61445514241. The reversal of 61445514240 is 4241554416.

61445514240 is a `hidden beast` number, since 61 + 4 + 4 + 551 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61445514195 and 61445514204.

It is not an unprimeable number, because it can be changed into a prime (61445514241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122157829 + ... + 122158331.

It is an arithmetic number, because the mean of its divisors is an integer number (442594152).

Almost surely, 2^61445514240 is an apocalyptic number.

61445514240 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 61445514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116844856128).

61445514240 is an abundant number, since it is smaller than the sum of its proper divisors (172244198016).

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

61445514240 is a wasteful number, since it uses less digits than its factorization.

61445514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 61445514240 in words is "sixty-one billion, four hundred forty-five million, five hundred fourteen thousand, two hundred forty".