40615990272 has 352 divisors, whose sum is σ = 141327500160. Its totient is φ = 11360010240.

The previous prime is 40615990241. The next prime is 40615990277. The reversal of 40615990272 is 27209951604.

40615990272 is a `hidden beast` number, since 4 + 0 + 615 + 9 + 9 + 0 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40615990277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3948528 + ... + 3958800.

It is an arithmetic number, because the mean of its divisors is an integer number (401498580).

Almost surely, 2^40615990272 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 40615990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70663750080).

40615990272 is an abundant number, since it is smaller than the sum of its proper divisors (100711509888).

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

40615990272 is a wasteful number, since it uses less digits than its factorization.

40615990272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10302 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 40615990272 in words is "forty billion, six hundred fifteen million, nine hundred ninety thousand, two hundred seventy-two".