40952655862272 has 1280 divisors, whose sum is σ = 157062404505600. Its totient is φ = 10224506880000.

The previous prime is 40952655862259. The next prime is 40952655862273. The reversal of 40952655862272 is 27226855625904.

40952655862272 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 2 + 6 + 558 + 6 + 2 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40952655862273) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4982676979 + ... + 4982685197.

It is an arithmetic number, because the mean of its divisors is an integer number (122705003520).

Almost surely, 2^{40952655862272} is an apocalyptic number.

40952655862272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40952655862272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78531202252800).

40952655862272 is an abundant number, since it is smaller than the sum of its proper divisors (116109748643328).

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

40952655862272 is a wasteful number, since it uses less digits than its factorization.

40952655862272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8446 (or 8424 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 40952655862272 in words is "forty trillion, nine hundred fifty-two billion, six hundred fifty-five million, eight hundred sixty-two thousand, two hundred seventy-two".