40477416100 has 243 divisors, whose sum is σ = 101481423393. Its totient is φ = 14002824000.

The previous prime is 40477416097. The next prime is 40477416167. The reversal of 40477416100 is 161477404.

The square root of 40477416100 is 201190.

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., 14571869796 + 25905546304 = 120714^2 + 160952^2 .

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, 686057871 + ... + 686057929.

Almost surely, 2^40477416100 is an apocalyptic number.

40477416100 is the 201190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40477416100

40477416100 is an abundant number, since it is smaller than the sum of its proper divisors (61004007293).

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

40477416100 is a wasteful number, since it uses less digits than its factorization.

40477416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 40477416100 in words is "forty billion, four hundred seventy-seven million, four hundred sixteen thousand, one hundred".