40437444000 has 96 divisors (see below), whose sum is σ = 132473105856. Its totient is φ = 10783315200.

The previous prime is 40437443999. The next prime is 40437444029. The reversal of 40437444000 is 44473404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×40437444000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672894 + ... + 1696893.

It is an arithmetic number, because the mean of its divisors is an integer number (1379928186).

Almost surely, 2^40437444000 is an apocalyptic number.

40437444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40437444000 is an abundant number, since it is smaller than the sum of its proper divisors (92035661856).

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

40437444000 is a wasteful number, since it uses less digits than its factorization.

40437444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369815 (or 3369797 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

The spelling of 40437444000 in words is "forty billion, four hundred thirty-seven million, four hundred forty-four thousand".