40020946560 has 640 divisors, whose sum is σ = 169016284800. Its totient is φ = 8829886464.

The previous prime is 40020946549. The next prime is 40020946577. The reversal of 40020946560 is 6564902004.

40020946560 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 0 + 94 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10521619 + ... + 10525421.

It is an arithmetic number, because the mean of its divisors is an integer number (264087945).

Almost surely, 2^40020946560 is an apocalyptic number.

40020946560 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 40020946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84508142400).

40020946560 is an abundant number, since it is smaller than the sum of its proper divisors (128995338240).

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

40020946560 is a wasteful number, since it uses less digits than its factorization.

40020946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 40020946560 in words is "forty billion, twenty million, nine hundred forty-six thousand, five hundred sixty".