40266888480 has 1152 divisors, whose sum is σ = 184923648000. Its totient is φ = 8035282944.

The previous prime is 40266888437. The next prime is 40266888491. The reversal of 40266888480 is 8488866204.

40266888480 is a `hidden beast` number, since 4 + 0 + 26 + 68 + 88 + 480 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67223221 + ... + 67223819.

It is an arithmetic number, because the mean of its divisors is an integer number (160524000).

Almost surely, 2^40266888480 is an apocalyptic number.

40266888480 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 40266888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824000).

40266888480 is an abundant number, since it is smaller than the sum of its proper divisors (144656759520).

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

40266888480 is a wasteful number, since it uses less digits than its factorization.

40266888480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 40266888480 in words is "forty billion, two hundred sixty-six million, eight hundred eighty-eight thousand, four hundred eighty".