40289896799200 has 144 divisors (see below), whose sum is σ = 99800370117504. Its totient is φ = 15879839270400.

The previous prime is 40289896799179. The next prime is 40289896799213. The reversal of 40289896799200 is 299769898204.

40289896799200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99026587 + ... + 99432613.

It is an arithmetic number, because the mean of its divisors is an integer number (693058125816).

Almost surely, 2^{40289896799200} is an apocalyptic number.

40289896799200 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 40289896799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49900185058752).

40289896799200 is an abundant number, since it is smaller than the sum of its proper divisors (59510473318304).

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

40289896799200 is a wasteful number, since it uses less digits than its factorization.

40289896799200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407865 (or 407852 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 73.

The spelling of 40289896799200 in words is "forty trillion, two hundred eighty-nine billion, eight hundred ninety-six million, seven hundred ninety-nine thousand, two hundred".