41440427755776 has 1701 divisors, whose sum is σ = 154796900870521. Its totient is φ = 10659138158592.

The previous prime is 41440427755733. The next prime is 41440427755781. The reversal of 41440427755776 is 67755772404414.

The square root of 41440427755776 is 6437424.

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

41440427755776 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 0 + 4 + 2 + 7 + 7 + 557 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32263308806400 + 9177118949376 = 5680080^2 + 3029376^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1801757728501 + ... + 1801757728523.

Almost surely, 2^{41440427755776} is an apocalyptic number.

41440427755776 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

41440427755776 is the 6437424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41440427755776

41440427755776 is an abundant number, since it is smaller than the sum of its proper divisors (113356473114745).

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

41440427755776 is an frugal number, since it uses more digits than its factorization.

41440427755776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 184396800, while the sum is 63.

The spelling of 41440427755776 in words is "forty-one trillion, four hundred forty billion, four hundred twenty-seven million, seven hundred fifty-five thousand, seven hundred seventy-six".