40487435280 has 560 divisors, whose sum is σ = 151336657584. Its totient is φ = 10032906240.

The previous prime is 40487435249. The next prime is 40487435321. The reversal of 40487435280 is 8253478404.

It is a happy number.

40487435280 is a `hidden beast` number, since 4 + 0 + 4 + 87 + 43 + 528 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3697126416 + 36790308864 = 60804^2 + 191808^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 96169470 + ... + 96169890.

Almost surely, 2^40487435280 is an apocalyptic number.

40487435280 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 40487435280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75668328792).

40487435280 is an abundant number, since it is smaller than the sum of its proper divisors (110849222304).

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

40487435280 is a wasteful number, since it uses less digits than its factorization.

40487435280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 40487435280 in words is "forty billion, four hundred eighty-seven million, four hundred thirty-five thousand, two hundred eighty".