40414120000 has 70 divisors (see below), whose sum is σ = 100213982198. Its totient is φ = 16165632000.

The previous prime is 40414119983. The next prime is 40414120001. The reversal of 40414120000 is 2141404.

It can be written as a sum of positive squares in 5 ways, for example, as 14309901376 + 26104218624 = 119624^2 + 161568^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40414120001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 465177 + ... + 545176.

Almost surely, 2^40414120000 is an apocalyptic number.

40414120000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40414120000 is an abundant number, since it is smaller than the sum of its proper divisors (59799862198).

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

40414120000 is an equidigital number, since it uses as much as digits as its factorization.

40414120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010385 (or 1010360 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 40414120000 its reverse (2141404), we get a palindrome (40416261404).

The spelling of 40414120000 in words is "forty billion, four hundred fourteen million, one hundred twenty thousand".