40414313000 has 256 divisors, whose sum is σ = 101088000000. Its totient is φ = 15097420800.

The previous prime is 40414312963. The next prime is 40414313039. The reversal of 40414313000 is 31341404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203086901 + ... + 203087099.

It is an arithmetic number, because the mean of its divisors is an integer number (394875000).

Almost surely, 2^40414313000 is an apocalyptic number.

40414313000 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 40414313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544000000).

40414313000 is an abundant number, since it is smaller than the sum of its proper divisors (60673687000).

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

40414313000 is a wasteful number, since it uses less digits than its factorization.

40414313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40414313000 its reverse (31341404), we get a palindrome (40445654404).

The spelling of 40414313000 in words is "forty billion, four hundred fourteen million, three hundred thirteen thousand".