40686053760 has 768 divisors, whose sum is σ = 168412608000. Its totient is φ = 9276456960.

The previous prime is 40686053747. The next prime is 40686053767. The reversal of 40686053760 is 6735068604.

40686053760 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 605 + 37 + 6 + 0 = 666.

It is a super-2 number, since 2×40686053760² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40686053767) 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, 29081541 + ... + 29082939.

It is an arithmetic number, because the mean of its divisors is an integer number (219287250).

Almost surely, 2^40686053760 is an apocalyptic number.

40686053760 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 40686053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206304000).

40686053760 is an abundant number, since it is smaller than the sum of its proper divisors (127726554240).

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

40686053760 is a wasteful number, since it uses less digits than its factorization.

40686053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40686053760 in words is "forty billion, six hundred eighty-six million, fifty-three thousand, seven hundred sixty".