40485380760 has 384 divisors, whose sum is σ = 150580684800. Its totient is φ = 9344609280.

The previous prime is 40485380743. The next prime is 40485380849. The reversal of 40485380760 is 6708358404.

40485380760 is a `hidden beast` number, since 4 + 0 + 48 + 538 + 0 + 76 + 0 = 666.

40485380760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6883501 + ... + 6889379.

It is an arithmetic number, because the mean of its divisors is an integer number (392137200).

Almost surely, 2^40485380760 is an apocalyptic number.

40485380760 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 40485380760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75290342400).

40485380760 is an abundant number, since it is smaller than the sum of its proper divisors (110095304040).

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

40485380760 is a wasteful number, since it uses less digits than its factorization.

40485380760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40485380760 in words is "forty billion, four hundred eighty-five million, three hundred eighty thousand, seven hundred sixty".