40850438400 has 324 divisors, whose sum is σ = 151464545232. Its totient is φ = 10893035520.

The previous prime is 40850438399. The next prime is 40850438509. The reversal of 40850438400 is 483405804.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1542067 + ... + 1568333.

Almost surely, 2^40850438400 is an apocalyptic number.

40850438400 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 40850438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75732272616).

40850438400 is an abundant number, since it is smaller than the sum of its proper divisors (110614106832).

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

40850438400 is an equidigital number, since it uses as much as digits as its factorization.

40850438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26308 (or 26277 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 40850438400 in words is "forty billion, eight hundred fifty million, four hundred thirty-eight thousand, four hundred".