40435052144000 has 256 divisors, whose sum is σ = 103044564080640. Its totient is φ = 15770198016000.

The previous prime is 40435052143943. The next prime is 40435052144027. The reversal of 40435052144000 is 44125053404.

It is a super-3 number, since 3×40435052144000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1165694657 + ... + 1165729343.

It is an arithmetic number, because the mean of its divisors is an integer number (402517828440).

Almost surely, 2^{40435052144000} is an apocalyptic number.

40435052144000 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 40435052144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51522282040320).

40435052144000 is an abundant number, since it is smaller than the sum of its proper divisors (62609511936640).

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

40435052144000 is a wasteful number, since it uses less digits than its factorization.

40435052144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36534 (or 36512 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 40435052144000 its reverse (44125053404), we get a palindrome (40479177197404).

The spelling of 40435052144000 in words is "forty trillion, four hundred thirty-five billion, fifty-two million, one hundred forty-four thousand".