40057709341456 has 45 divisors (see below), whose sum is σ = 78908036478453. Its totient is φ = 19699753296960.

The previous prime is 40057709341439. The next prime is 40057709341457. The reversal of 40057709341456 is 65414390775004.

The square root of 40057709341456 is 6329116.

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

It can be written as a sum of positive squares in only one way, i.e., 1302602211856 + 38755107129600 = 1141316^2 + 6225360^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40057709341397 and 40057709341406.

It is not an unprimeable number, because it can be changed into a prime (40057709341457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1544291335 + ... + 1544317273.

Almost surely, 2^{40057709341456} is an apocalyptic number.

40057709341456 is the 6329116-th square number.

It is an amenable number.

40057709341456 is a deficient number, since it is larger than the sum of its proper divisors (38850327136997).

40057709341456 is an frugal number, since it uses more digits than its factorization.

40057709341456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52008 (or 26002 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 40057709341456 in words is "forty trillion, fifty-seven billion, seven hundred nine million, three hundred forty-one thousand, four hundred fifty-six".