40815851520 has 384 divisors, whose sum is σ = 138636126720. Its totient is φ = 10229514240.

The previous prime is 40815851513. The next prime is 40815851521. The reversal of 40815851520 is 2515851804.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40815851521) 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, 43099687 + ... + 43100633.

It is an arithmetic number, because the mean of its divisors is an integer number (361031580).

Almost surely, 2^40815851520 is an apocalyptic number.

40815851520 is a gapful number since it is divisible by the number (40) 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 40815851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69318063360).

40815851520 is an abundant number, since it is smaller than the sum of its proper divisors (97820275200).

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

40815851520 is a wasteful number, since it uses less digits than its factorization.

40815851520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 39.

The spelling of 40815851520 in words is "forty billion, eight hundred fifteen million, eight hundred fifty-one thousand, five hundred twenty".