40764381320601 has 45 divisors (see below), whose sum is σ = 61092923608431. Its totient is φ = 27088183675728.

The previous prime is 40764381320557. The next prime is 40764381320609. The reversal of 40764381320601 is 10602318346704.

The square root of 40764381320601 is 6384699.

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

40764381320601 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 4 + 3 + 8 + 1 + 32 + 0 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27754826841225 + 13009554479376 = 5268285^2 + 3606876^2 .

It is not a de Polignac number, because 40764381320601 - 2¹³ = 40764381312409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40764381320609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21088659831 + ... + 21088661763.

Almost surely, 2^{40764381320601} is an apocalyptic number.

40764381320601 is the 6384699-th square number.

40764381320601 is the 3192350-th centered octagonal number.

It is an amenable number.

40764381320601 is a deficient number, since it is larger than the sum of its proper divisors (20328542287830).

40764381320601 is an frugal number, since it uses more digits than its factorization.

40764381320601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40764381320601 in words is "forty trillion, seven hundred sixty-four billion, three hundred eighty-one million, three hundred twenty thousand, six hundred one".