40062662640 has 960 divisors, whose sum is σ = 188657925120. Its totient is φ = 7681443840.

The previous prime is 40062662623. The next prime is 40062662693. The reversal of 40062662640 is 4626626004.

40062662640 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 2 + 6 + 6 + 2 + 640 = 666.

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 = 40062662595 and 40062662604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15133797 + ... + 15136443.

It is an arithmetic number, because the mean of its divisors is an integer number (196518672).

Almost surely, 2^40062662640 is an apocalyptic number.

40062662640 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 40062662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94328962560).

40062662640 is an abundant number, since it is smaller than the sum of its proper divisors (148595262480).

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

40062662640 is a wasteful number, since it uses less digits than its factorization.

40062662640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 40062662640 in words is "forty billion, sixty-two million, six hundred sixty-two thousand, six hundred forty".