40614827568 has 480 divisors, whose sum is σ = 134755660800. Its totient is φ = 10499328000.

The previous prime is 40614827567. The next prime is 40614827569. The reversal of 40614827568 is 86572841604.

It is an interprime number because it is at equal distance from previous prime (40614827567) and next prime (40614827569).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 40614827568.

It is not an unprimeable number, because it can be changed into a prime (40614827567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268972293 + ... + 268972443.

It is an arithmetic number, because the mean of its divisors is an integer number (280740960).

Almost surely, 2^40614827568 is an apocalyptic number.

40614827568 is a gapful number since it is divisible by the number (48) 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 40614827568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67377830400).

40614827568 is an abundant number, since it is smaller than the sum of its proper divisors (94140833232).

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

40614827568 is a wasteful number, since it uses less digits than its factorization.

40614827568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 40614827568 in words is "forty billion, six hundred fourteen million, eight hundred twenty-seven thousand, five hundred sixty-eight".