40784100480 has 512 divisors, whose sum is σ = 152549568000. Its totient is φ = 10277093376.

The previous prime is 40784100473. The next prime is 40784100491. The reversal of 40784100480 is 8400148704.

It is a happy number.

40784100480 is a `hidden beast` number, since 4 + 0 + 78 + 4 + 100 + 480 = 666.

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 63 ways as a sum of consecutive naturals, for example, 35371584 + ... + 35372736.

It is an arithmetic number, because the mean of its divisors is an integer number (297948375).

Almost surely, 2^40784100480 is an apocalyptic number.

40784100480 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 40784100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76274784000).

40784100480 is an abundant number, since it is smaller than the sum of its proper divisors (111765467520).

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

40784100480 is a wasteful number, since it uses less digits than its factorization.

40784100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 40784100480 in words is "forty billion, seven hundred eighty-four million, one hundred thousand, four hundred eighty".