40945117801 has 27 divisors (see below), whose sum is σ = 48208709367. Its totient is φ = 34674524640.

The previous prime is 40945117771. The next prime is 40945117813. The reversal of 40945117801 is 10871154904.

The square root of 40945117801 is 202349.

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., 24051357225 + 16893760576 = 155085^2 + 129976^2 .

It is not a de Polignac number, because 40945117801 - 2¹⁵ = 40945085033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40945117601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194052586 + ... + 194052796.

Almost surely, 2^40945117801 is an apocalyptic number.

40945117801 is the 202349-th square number.

40945117801 is the 101175-th centered octagonal number.

It is an amenable number.

40945117801 is a deficient number, since it is larger than the sum of its proper divisors (7263591566).

40945117801 is an frugal number, since it uses more digits than its factorization.

40945117801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 40945117801 in words is "forty billion, nine hundred forty-five million, one hundred seventeen thousand, eight hundred one".