40434364000 has 192 divisors, whose sum is σ = 107764255872. Its totient is φ = 14850048000.

The previous prime is 40434363997. The next prime is 40434364001. The reversal of 40434364000 is 46343404.

It is a self number, because there is not a number n which added to its sum of digits gives 40434364000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40434364001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2780749 + ... + 2795251.

It is an arithmetic number, because the mean of its divisors is an integer number (561272166).

Almost surely, 2^40434364000 is an apocalyptic number.

40434364000 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 40434364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53882127936).

40434364000 is an abundant number, since it is smaller than the sum of its proper divisors (67329891872).

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

40434364000 is a wasteful number, since it uses less digits than its factorization.

40434364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14586 (or 14568 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The spelling of 40434364000 in words is "forty billion, four hundred thirty-four million, three hundred sixty-four thousand".