40143602400 has 288 divisors, whose sum is σ = 145583682048. Its totient is φ = 9524428800.

The previous prime is 40143602393. The next prime is 40143602417. The reversal of 40143602400 is 420634104.

It is a super-2 number, since 2×40143602400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1224624 + ... + 1256976.

It is an arithmetic number, because the mean of its divisors is an integer number (505498896).

Almost surely, 2^40143602400 is an apocalyptic number.

40143602400 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 40143602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72791841024).

40143602400 is an abundant number, since it is smaller than the sum of its proper divisors (105440079648).

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

40143602400 is a wasteful number, since it uses less digits than its factorization.

40143602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32434 (or 32421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 40143602400 in words is "forty billion, one hundred forty-three million, six hundred two thousand, four hundred".