40017201849 has 63 divisors (see below), whose sum is σ = 62256703989. Its totient is φ = 25709526360.

The previous prime is 40017201841. The next prime is 40017201859. The reversal of 40017201849 is 94810271004.

The square root of 40017201849 is 200043.

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

40017201849 is a `hidden beast` number, since 400 + 1 + 7 + 201 + 8 + 49 = 666.

It is not a de Polignac number, because 40017201849 - 2³ = 40017201841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40017201841) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 167435872 + ... + 167436110.

Almost surely, 2^40017201849 is an apocalyptic number.

40017201849 is the 200043-rd square number.

40017201849 is the 100022-nd centered octagonal number.

It is an amenable number.

40017201849 is a deficient number, since it is larger than the sum of its proper divisors (22239502140).

40017201849 is an frugal number, since it uses more digits than its factorization.

40017201849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 40017201849 by its sum of digits (36), we get a square (1440619266564 = 1200258²).

The spelling of 40017201849 in words is "forty billion, seventeen million, two hundred one thousand, eight hundred forty-nine".