40638783144960 has 4928 divisors, whose sum is σ = 200267973158400. Its totient is φ = 7636474920960.

The previous prime is 40638783144959. The next prime is 40638783144989. The reversal of 40638783144960 is 6944138783604.

It is a happy number.

40638783144960 is a `hidden beast` number, since 4 + 0 + 6 + 38 + 78 + 31 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4928).

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 272743510966 + ... + 272743511114.

Almost surely, 2^{40638783144960} is an apocalyptic number.

40638783144960 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 40638783144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100133986579200).

40638783144960 is an abundant number, since it is smaller than the sum of its proper divisors (159629190013440).

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

40638783144960 is a wasteful number, since it uses less digits than its factorization.

40638783144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 40638783144960 in words is "forty trillion, six hundred thirty-eight billion, seven hundred eighty-three million, one hundred forty-four thousand, nine hundred sixty".