40801488480 has 672 divisors, whose sum is σ = 153732950784. Its totient is φ = 10206839808.

The previous prime is 40801488479. The next prime is 40801488509. The reversal of 40801488480 is 8488410804.

40801488480 is a `hidden beast` number, since 4 + 0 + 80 + 14 + 88 + 480 = 666.

It is a super-2 number, since 2×40801488480² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 179742127 + ... + 179742353.

It is an arithmetic number, because the mean of its divisors is an integer number (228769272).

Almost surely, 2^40801488480 is an apocalyptic number.

40801488480 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 40801488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76866475392).

40801488480 is an abundant number, since it is smaller than the sum of its proper divisors (112931462304).

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

40801488480 is a wasteful number, since it uses less digits than its factorization.

40801488480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 40801488480 in words is "forty billion, eight hundred one million, four hundred eighty-eight thousand, four hundred eighty".