40214687296 has 63 divisors (see below), whose sum is σ = 92855688177. Its totient is φ = 17230053120.

The previous prime is 40214687281. The next prime is 40214687323. The reversal of 40214687296 is 69278641204.

The square root of 40214687296 is 200536.

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., 35848120896 + 4366566400 = 189336^2 + 66080^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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, 11228226 + ... + 11231806.

Almost surely, 2^40214687296 is an apocalyptic number.

40214687296 is the 200536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40214687296

40214687296 is an abundant number, since it is smaller than the sum of its proper divisors (52641000881).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40214687296 is an frugal number, since it uses more digits than its factorization.

40214687296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 40214687296 by its sum of digits (49), we get a square (1970519677504 = 1403752²).

40214687296 divided by its sum of digits (49) gives a square (820707904 = 28648²).

The spelling of 40214687296 in words is "forty billion, two hundred fourteen million, six hundred eighty-seven thousand, two hundred ninety-six".