40921244100 has 243 divisors, whose sum is σ = 141216266919. Its totient is φ = 9904118400.

The previous prime is 40921244011. The next prime is 40921244141. The reversal of 40921244100 is 144212904.

It is a happy number.

The square root of 40921244100 is 202290.

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

40921244100 is a `hidden beast` number, since 4 + 0 + 9 + 212 + 441 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23912911044 + 17008333056 = 154638^2 + 130416^2 .

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, 66755394 + ... + 66756006.

Almost surely, 2^40921244100 is an apocalyptic number.

40921244100 is the 202290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40921244100

40921244100 is an abundant number, since it is smaller than the sum of its proper divisors (100295022819).

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

40921244100 is a wasteful number, since it uses less digits than its factorization.

40921244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 634 counting only the distinct ones).

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

Multiplying 40921244100 by its product of nonzero digits (2304), we get a square (94282546406400 = 9709920²).

The spelling of 40921244100 in words is "forty billion, nine hundred twenty-one million, two hundred forty-four thousand, one hundred".