40762714608 has 480 divisors, whose sum is σ = 150682022400. Its totient is φ = 9965721600.

The previous prime is 40762714607. The next prime is 40762714661. The reversal of 40762714608 is 80641726704.

40762714608 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 27 + 14 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40762714607) 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, 38131098 + ... + 38132166.

It is an arithmetic number, because the mean of its divisors is an integer number (313920880).

Almost surely, 2^40762714608 is an apocalyptic number.

40762714608 is a gapful number since it is divisible by the number (48) 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 40762714608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75341011200).

40762714608 is an abundant number, since it is smaller than the sum of its proper divisors (109919307792).

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

40762714608 is a wasteful number, since it uses less digits than its factorization.

40762714608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 40762714608 in words is "forty billion, seven hundred sixty-two million, seven hundred fourteen thousand, six hundred eight".