40506480000 has 1600 divisors, whose sum is σ = 185070758400. Its totient is φ = 8584704000.

The previous prime is 40506479939. The next prime is 40506480037. The reversal of 40506480000 is 8460504.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 861839977 + ... + 861840023.

It is an arithmetic number, because the mean of its divisors is an integer number (115669224).

Almost surely, 2^40506480000 is an apocalyptic number.

40506480000 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 40506480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92535379200).

40506480000 is an abundant number, since it is smaller than the sum of its proper divisors (144564278400).

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

40506480000 is an equidigital number, since it uses as much as digits as its factorization.

40506480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

It can be divided in two parts, 4050 and 6480000, that multiplied together give a square (26244000000 = 162000²).

The spelling of 40506480000 in words is "forty billion, five hundred six million, four hundred eighty thousand".