40037216211440 has 40 divisors (see below), whose sum is σ = 106384603077600. Its totient is φ = 13727045558016.

The previous prime is 40037216211437. The next prime is 40037216211449. The reversal of 40037216211440 is 4411261273004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 40037216211440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40037216211449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35747513915 + ... + 35747515034.

It is an arithmetic number, because the mean of its divisors is an integer number (2659615076940).

Almost surely, 2^{40037216211440} is an apocalyptic number.

40037216211440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40037216211440 is an abundant number, since it is smaller than the sum of its proper divisors (66347386866160).

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

40037216211440 is a wasteful number, since it uses less digits than its factorization.

40037216211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71495028969 (or 71495028963 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

Adding to 40037216211440 its reverse (4411261273004), we get a palindrome (44448477484444).

The spelling of 40037216211440 in words is "forty trillion, thirty-seven billion, two hundred sixteen million, two hundred eleven thousand, four hundred forty".