40925761272 has 240 divisors, whose sum is σ = 129412825080. Its totient is φ = 12065708160.

The previous prime is 40925761271. The next prime is 40925761301. The reversal of 40925761272 is 27216752904.

40925761272 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 576 + 1 + 2 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40925761271) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2894043 + ... + 2908149.

Almost surely, 2^40925761272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40925761272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64706412540).

40925761272 is an abundant number, since it is smaller than the sum of its proper divisors (88487063808).

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

40925761272 is a wasteful number, since it uses less digits than its factorization.

40925761272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14184 (or 14160 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 40925761272 in words is "forty billion, nine hundred twenty-five million, seven hundred sixty-one thousand, two hundred seventy-two".