40573716480 has 480 divisors, whose sum is σ = 158685246720. Its totient is φ = 9833840640.

The previous prime is 40573716439. The next prime is 40573716503. The reversal of 40573716480 is 8461737504.

40573716480 is a `hidden beast` number, since 4 + 0 + 573 + 71 + 6 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9121617 + ... + 9126063.

It is an arithmetic number, because the mean of its divisors is an integer number (330594264).

Almost surely, 2^40573716480 is an apocalyptic number.

40573716480 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 40573716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79342623360).

40573716480 is an abundant number, since it is smaller than the sum of its proper divisors (118111530240).

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

40573716480 is a wasteful number, since it uses less digits than its factorization.

40573716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 40573716480 in words is "forty billion, five hundred seventy-three million, seven hundred sixteen thousand, four hundred eighty".