40075284480 has 832 divisors, whose sum is σ = 164413421568. Its totient is φ = 8092385280.

The previous prime is 40075284451. The next prime is 40075284569. The reversal of 40075284480 is 8448257004.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203427742 + ... + 203427938.

Almost surely, 2^40075284480 is an apocalyptic number.

40075284480 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 40075284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82206710784).

40075284480 is an abundant number, since it is smaller than the sum of its proper divisors (124338137088).

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

40075284480 is a wasteful number, since it uses less digits than its factorization.

40075284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 40075284480 in words is "forty billion, seventy-five million, two hundred eighty-four thousand, four hundred eighty".