40507221414000 has 320 divisors, whose sum is σ = 142971065123328. Its totient is φ = 9785228544000.

The previous prime is 40507221413863. The next prime is 40507221414019. The reversal of 40507221414000 is 41412270504.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17593644 + ... + 19762356.

Almost surely, 2^{40507221414000} is an apocalyptic number.

40507221414000 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 40507221414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71485532561664).

40507221414000 is an abundant number, since it is smaller than the sum of its proper divisors (102463843709328).

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

40507221414000 is a wasteful number, since it uses less digits than its factorization.

40507221414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169033 (or 2169017 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

Adding to 40507221414000 its reverse (41412270504), we get a palindrome (40548633684504).

The spelling of 40507221414000 in words is "forty trillion, five hundred seven billion, two hundred twenty-one million, four hundred fourteen thousand".