40162454640 has 640 divisors, whose sum is σ = 179988480000. Its totient is φ = 7981839360.

The previous prime is 40162454623. The next prime is 40162454669. The reversal of 40162454640 is 4645426104.

40162454640 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 2 + 4 + 5 + 4 + 640 = 666.

It is a super-2 number, since 2×40162454640² (a number of 22 digits) contains 22 as substring.

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 = 40162454595 and 40162454604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3820111 + ... + 3830609.

It is an arithmetic number, because the mean of its divisors is an integer number (281232000).

Almost surely, 2^40162454640 is an apocalyptic number.

40162454640 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 40162454640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240000).

40162454640 is an abundant number, since it is smaller than the sum of its proper divisors (139826025360).

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

40162454640 is a wasteful number, since it uses less digits than its factorization.

40162454640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10562 (or 10550 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 40162454640 in words is "forty billion, one hundred sixty-two million, four hundred fifty-four thousand, six hundred forty".