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40977889152 = 27319311031759
BaseRepresentation
bin100110001010011110…
…001111011110000000
310220202211010110020020
4212022132033132000
51132410314423102
630454110213440
72650320211404
oct461236173600
9126684113206
1040977889152
1116418a4a6a2
127b374b4280
133b3084a5b5
141daa401104
1510ec79bbbc
hex98a78f780

40977889152 has 256 divisors, whose sum is σ = 119488512000. Its totient is φ = 12394321920.

The previous prime is 40977889097. The next prime is 40977889153. The reversal of 40977889152 is 25198877904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40977889153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23295249 + ... + 23297007.

It is an arithmetic number, because the mean of its divisors is an integer number (466752000).

Almost surely, 240977889152 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 40977889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59744256000).

40977889152 is an abundant number, since it is smaller than the sum of its proper divisors (78510622848).

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

40977889152 is a wasteful number, since it uses less digits than its factorization.

40977889152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 60.

The spelling of 40977889152 in words is "forty billion, nine hundred seventy-seven million, eight hundred eighty-nine thousand, one hundred fifty-two".