61440326438544 has 75 divisors (see below), whose sum is σ = 177826946713273. Its totient is φ = 20480014752192.

The previous prime is 61440326438539. The next prime is 61440326438567. The reversal of 61440326438544 is 44583462304416.

The square root of 61440326438544 is 7838388.

It is a perfect power (a square), and thus also a powerful number.

61440326438544 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 0 + 3 + 2 + 64 + 38 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57701950592400 + 3738375846144 = 7596180^2 + 1933488^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 282073102 + ... + 282290834.

Almost surely, 2^{61440326438544} is an apocalyptic number.

61440326438544 is the 7838388-th square number.

It is an amenable number.

61440326438544 is an abundant number, since it is smaller than the sum of its proper divisors (116386620274729).

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

61440326438544 is an frugal number, since it uses more digits than its factorization.

61440326438544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435486 (or 217738 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 61440326438544 in words is "sixty-one trillion, four hundred forty billion, three hundred twenty-six million, four hundred thirty-eight thousand, five hundred forty-four".