40196240100 has 243 divisors, whose sum is σ = 129937965339. Its totient is φ = 10393401600.

The previous prime is 40196240093. The next prime is 40196240111. The reversal of 40196240100 is 104269104.

The square root of 40196240100 is 200490.

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

40196240100 is a `hidden beast` number, since 401 + 9 + 6 + 240 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16919245476 + 23276994624 = 130074^2 + 152568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 246602619 + ... + 246602781.

Almost surely, 2^40196240100 is an apocalyptic number.

40196240100 is the 200490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40196240100

40196240100 is an abundant number, since it is smaller than the sum of its proper divisors (89741725239).

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

40196240100 is a wasteful number, since it uses less digits than its factorization.

40196240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 40196240100 in words is "forty billion, one hundred ninety-six million, two hundred forty thousand, one hundred".