40350644400 has 180 divisors, whose sum is σ = 142075908296. Its totient is φ = 9781939200.

The previous prime is 40350644363. The next prime is 40350644417. The reversal of 40350644400 is 444605304.

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

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 35 ways as a sum of consecutive naturals, for example, 6252 + ... + 284148.

Almost surely, 2^40350644400 is an apocalyptic number.

40350644400 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 40350644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71037954148).

40350644400 is an abundant number, since it is smaller than the sum of its proper divisors (101725263896).

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

40350644400 is a wasteful number, since it uses less digits than its factorization.

40350644400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277940 (or 277918 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 40350644400 in words is "forty billion, three hundred fifty million, six hundred forty-four thousand, four hundred".