40018397760 has 672 divisors, whose sum is σ = 157126838400. Its totient is φ = 9580032000.

The previous prime is 40018397747. The next prime is 40018397761. The reversal of 40018397760 is 6779381004.

40018397760 is a `hidden beast` number, since 400 + 183 + 9 + 7 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40018397761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105589251 + ... + 105589629.

It is an arithmetic number, because the mean of its divisors is an integer number (233819700).

Almost surely, 2^40018397760 is an apocalyptic number.

40018397760 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 40018397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78563419200).

40018397760 is an abundant number, since it is smaller than the sum of its proper divisors (117108440640).

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

40018397760 is a wasteful number, since it uses less digits than its factorization.

40018397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 40018397760 in words is "forty billion, eighteen million, three hundred ninety-seven thousand, seven hundred sixty".