40034433434000 has 160 divisors (see below), whose sum is σ = 97138200257280. Its totient is φ = 15958462080000.

The previous prime is 40034433433933. The next prime is 40034433434027. The reversal of 40034433434000 is 43433443004.

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, 676696421 + ... + 676755579.

It is an arithmetic number, because the mean of its divisors is an integer number (607113751608).

Almost surely, 2^{40034433434000} is an apocalyptic number.

40034433434000 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 40034433434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48569100128640).

40034433434000 is an abundant number, since it is smaller than the sum of its proper divisors (57103766823280).

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

40034433434000 is a wasteful number, since it uses less digits than its factorization.

40034433434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60346 (or 60330 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 40034433434000 its reverse (43433443004), we get a palindrome (40077866877004).

The spelling of 40034433434000 in words is "forty trillion, thirty-four billion, four hundred thirty-three million, four hundred thirty-four thousand".