61440000000 has 304 divisors, whose sum is σ = 204799085088. Its totient is φ = 16384000000.

The previous prime is 61439999989. The next prime is 61440000049. The reversal of 61440000000 is 4416.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12287999998 + ... + 12288000002.

Almost surely, 2^61440000000 is an apocalyptic number.

61440000000 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 61440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102399542544).

61440000000 is an abundant number, since it is smaller than the sum of its proper divisors (143359085088).

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

61440000000 is an frugal number, since it uses more digits than its factorization.

61440000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Multiplying 61440000000 by its sum of digits (15), we get a square (921600000000 = 960000²).

61440000000 divided by its sum of digits (15) gives a 6-th power (4096000000 = 40⁶).

Adding to 61440000000 its reverse (4416), we get a palindrome (61440004416).

The spelling of 61440000000 in words is "sixty-one billion, four hundred forty million", and thus it is an aban number.