40002800049 has 45 divisors (see below), whose sum is σ = 60805038459. Its totient is φ = 26208917280.

The previous prime is 40002800029. The next prime is 40002800077. The reversal of 40002800049 is 94000820004.

The square root of 40002800049 is 200007.

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., 255200625 + 39747599424 = 15975^2 + 199368^2 .

It is not a de Polignac number, because 40002800049 - 2⁹ = 40002799537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40002799995 and 40002800031.

It is not an unprimeable number, because it can be changed into a prime (40002800029) 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, 127804317 + ... + 127804629.

Almost surely, 2^40002800049 is an apocalyptic number.

40002800049 is the 200007-th square number.

40002800049 is the 100004-th centered octagonal number.

It is an amenable number.

40002800049 is a deficient number, since it is larger than the sum of its proper divisors (20802238410).

40002800049 is an frugal number, since it uses more digits than its factorization.

40002800049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 40002800049 by its product of nonzero digits (2304), we get a square (92166451312896 = 9600336²).

The spelling of 40002800049 in words is "forty billion, two million, eight hundred thousand, forty-nine".