40034036454560 has 192 divisors, whose sum is σ = 100620845498880. Its totient is φ = 15009114931200.

The previous prime is 40034036454553. The next prime is 40034036454589. The reversal of 40034036454560 is 6545463043004.

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 31 ways as a sum of consecutive naturals, for example, 407392952 + ... + 407491208.

It is an arithmetic number, because the mean of its divisors is an integer number (524066903640).

Almost surely, 2^{40034036454560} is an apocalyptic number.

40034036454560 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 40034036454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50310422749440).

40034036454560 is an abundant number, since it is smaller than the sum of its proper divisors (60586809044320).

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

40034036454560 is a wasteful number, since it uses less digits than its factorization.

40034036454560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99719 (or 99711 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

Adding to 40034036454560 its reverse (6545463043004), we get a palindrome (46579499497564).

The spelling of 40034036454560 in words is "forty trillion, thirty-four billion, thirty-six million, four hundred fifty-four thousand, five hundred sixty".