40484609948160 has 1920 divisors, whose sum is σ = 177342969323520. Its totient is φ = 8645211979776.

The previous prime is 40484609948147. The next prime is 40484609948191. The reversal of 40484609948160 is 6184990648404.

40484609948160 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 4 + 6 + 0 + 99 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 6039771369 + ... + 6039778071.

It is an arithmetic number, because the mean of its divisors is an integer number (92366129856).

Almost surely, 2^{40484609948160} is an apocalyptic number.

40484609948160 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 40484609948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88671484661760).

40484609948160 is an abundant number, since it is smaller than the sum of its proper divisors (136858359375360).

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

40484609948160 is an equidigital number, since it uses as much as digits as its factorization.

40484609948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 40484609948160 in words is "forty trillion, four hundred eighty-four billion, six hundred nine million, nine hundred forty-eight thousand, one hundred sixty".