40054798080 has 864 divisors, whose sum is σ = 163921605120. Its totient is φ = 9269821440.

The previous prime is 40054798067. The next prime is 40054798117. The reversal of 40054798080 is 8089745004.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 78692866 + ... + 78693374.

It is an arithmetic number, because the mean of its divisors is an integer number (189724080).

Almost surely, 2^40054798080 is an apocalyptic number.

40054798080 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 40054798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81960802560).

40054798080 is an abundant number, since it is smaller than the sum of its proper divisors (123866807040).

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

40054798080 is a wasteful number, since it uses less digits than its factorization.

40054798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 40054798080 in words is "forty billion, fifty-four million, seven hundred ninety-eight thousand, eighty".