40312210400 has 576 divisors, whose sum is σ = 131661573120. Its totient is φ = 11678515200.

The previous prime is 40312210397. The next prime is 40312210417. The reversal of 40312210400 is 401221304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52421216 + ... + 52421984.

It is an arithmetic number, because the mean of its divisors is an integer number (228579120).

Almost surely, 2^40312210400 is an apocalyptic number.

40312210400 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 40312210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65830786560).

40312210400 is an abundant number, since it is smaller than the sum of its proper divisors (91349362720).

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

40312210400 is a wasteful number, since it uses less digits than its factorization.

40312210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 40312210400 its reverse (401221304), we get a palindrome (40713431704).

The spelling of 40312210400 in words is "forty billion, three hundred twelve million, two hundred ten thousand, four hundred".