40210645104 has 320 divisors, whose sum is σ = 139855175680. Its totient is φ = 10816727040.

The previous prime is 40210645087. The next prime is 40210645133. The reversal of 40210645104 is 40154601204.

40210645104 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 0 + 645 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3462732 + ... + 3474324.

It is an arithmetic number, because the mean of its divisors is an integer number (437047424).

Almost surely, 2^40210645104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40210645104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69927587840).

40210645104 is an abundant number, since it is smaller than the sum of its proper divisors (99644530576).

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

40210645104 is a wasteful number, since it uses less digits than its factorization.

40210645104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11685 (or 11673 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 40210645104 in words is "forty billion, two hundred ten million, six hundred forty-five thousand, one hundred four".