40399060800 has 336 divisors, whose sum is σ = 151775444480. Its totient is φ = 9215907840.

The previous prime is 40399060777. The next prime is 40399060813. The reversal of 40399060800 is 806099304.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-4 number, since 4×40399060800⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24829587 + ... + 24831213.

Almost surely, 2^40399060800 is an apocalyptic number.

40399060800 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 40399060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75887722240).

40399060800 is an abundant number, since it is smaller than the sum of its proper divisors (111376383680).

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

40399060800 is a wasteful number, since it uses less digits than its factorization.

40399060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 40399060800 in words is "forty billion, three hundred ninety-nine million, sixty thousand, eight hundred".