40944436678656 has 1365 divisors, whose sum is σ = 149296069874451. Its totient is φ = 11189783937024.

The previous prime is 40944436678591. The next prime is 40944436678669. The reversal of 40944436678656 is 65687663444904.

The square root of 40944436678656 is 6398784.

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

40944436678656 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 4 + 436 + 67 + 86 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1780192899061 + ... + 1780192899083.

Almost surely, 2^{40944436678656} is an apocalyptic number.

40944436678656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

40944436678656 is the 6398784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40944436678656

40944436678656 is an abundant number, since it is smaller than the sum of its proper divisors (108351633195795).

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

40944436678656 is an frugal number, since it uses more digits than its factorization.

40944436678656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 72.

It can be divided in two parts, 409444 and 36678656, that added together give a square (37088100 = 6090²).

The spelling of 40944436678656 in words is "forty trillion, nine hundred forty-four billion, four hundred thirty-six million, six hundred seventy-eight thousand, six hundred fifty-six".