40470036480 has 720 divisors, whose sum is σ = 154576356480. Its totient is φ = 10128457728.

The previous prime is 40470036437. The next prime is 40470036533. The reversal of 40470036480 is 8463007404.

40470036480 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 0 + 0 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378224587 + ... + 378224693.

It is an arithmetic number, because the mean of its divisors is an integer number (214689384).

Almost surely, 2^40470036480 is an apocalyptic number.

40470036480 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 40470036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77288178240).

40470036480 is an abundant number, since it is smaller than the sum of its proper divisors (114106320000).

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

40470036480 is an equidigital number, since it uses as much as digits as its factorization.

40470036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40470036480 in words is "forty billion, four hundred seventy million, thirty-six thousand, four hundred eighty".