40603764240 has 720 divisors, whose sum is σ = 162356358528. Its totient is φ = 9393905664.

The previous prime is 40603764197. The next prime is 40603764247. The reversal of 40603764240 is 4246730604.

40603764240 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 3 + 7 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40603764195 and 40603764204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40603764247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55850757 + ... + 55851483.

Almost surely, 2^40603764240 is an apocalyptic number.

40603764240 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 40603764240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81178179264).

40603764240 is an abundant number, since it is smaller than the sum of its proper divisors (121752594288).

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

40603764240 is a wasteful number, since it uses less digits than its factorization.

40603764240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 40603764240 in words is "forty billion, six hundred three million, seven hundred sixty-four thousand, two hundred forty".