40255067851920 has 960 divisors, whose sum is σ = 159582466068480. Its totient is φ = 9367766360064.

The previous prime is 40255067851871. The next prime is 40255067851931. The reversal of 40255067851920 is 2915876055204.

40255067851920 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 50 + 6 + 78 + 519 + 2 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 295050439 + ... + 295186841.

It is an arithmetic number, because the mean of its divisors is an integer number (166231735488).

Almost surely, 2^{40255067851920} is an apocalyptic number.

40255067851920 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 40255067851920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79791233034240).

40255067851920 is an abundant number, since it is smaller than the sum of its proper divisors (119327398216560).

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

40255067851920 is a wasteful number, since it uses less digits than its factorization.

40255067851920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136514 (or 136496 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 40255067851920 in words is "forty trillion, two hundred fifty-five billion, sixty-seven million, eight hundred fifty-one thousand, nine hundred twenty".