40224660480 has 704 divisors, whose sum is σ = 150543912960. Its totient is φ = 10174464000.

The previous prime is 40224660473. The next prime is 40224660481. The reversal of 40224660480 is 8406642204.

It is a happy number.

40224660480 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 46 + 604 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40224660481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266388405 + ... + 266388555.

Almost surely, 2^40224660480 is an apocalyptic number.

40224660480 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 40224660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75271956480).

40224660480 is an abundant number, since it is smaller than the sum of its proper divisors (110319252480).

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

40224660480 is a wasteful number, since it uses less digits than its factorization.

40224660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 40224660480 in words is "forty billion, two hundred twenty-four million, six hundred sixty thousand, four hundred eighty".