40053928007808 has 3072 divisors, whose sum is σ = 154921635348480. Its totient is φ = 10113169489920.

The previous prime is 40053928007741. The next prime is 40053928007879. The reversal of 40053928007808 is 80870082935004.

It is a happy number.

40053928007808 is a `hidden beast` number, since 4 + 0 + 0 + 539 + 28 + 0 + 0 + 7 + 80 + 8 = 666.

It is a super-2 number, since 2×40053928007808² (a number of 28 digits) contains 22 as substring.

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

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 383 ways as a sum of consecutive naturals, for example, 315385259841 + ... + 315385259967.

It is an arithmetic number, because the mean of its divisors is an integer number (50430219840).

Almost surely, 2^{40053928007808} is an apocalyptic number.

40053928007808 is a gapful number since it is divisible by the number (48) 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 40053928007808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77460817674240).

40053928007808 is an abundant number, since it is smaller than the sum of its proper divisors (114867707340672).

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

40053928007808 is a wasteful number, since it uses less digits than its factorization.

40053928007808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 40053928007808 in words is "forty trillion, fifty-three billion, nine hundred twenty-eight million, seven thousand, eight hundred eight".