40976617284 has 240 divisors, whose sum is σ = 119825266176. Its totient is φ = 12149222400.

The previous prime is 40976617261. The next prime is 40976617289. The reversal of 40976617284 is 48271667904.

40976617284 is a `hidden beast` number, since 409 + 7 + 66 + 172 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40976617284.

It is not an unprimeable number, because it can be changed into a prime (40976617289) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7339374 + ... + 7344954.

Almost surely, 2^40976617284 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 40976617284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59912633088).

40976617284 is an abundant number, since it is smaller than the sum of its proper divisors (78848648892).

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

40976617284 is a wasteful number, since it uses less digits than its factorization.

40976617284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 40976617284 in words is "forty billion, nine hundred seventy-six million, six hundred seventeen thousand, two hundred eighty-four".