40441310431020 has 240 divisors, whose sum is σ = 127361200538880. Its totient is φ = 10742312347776.

The previous prime is 40441310431003. The next prime is 40441310431057. The reversal of 40441310431020 is 2013401314404.

40441310431020 is a `hidden beast` number, since 40 + 4 + 413 + 104 + 3 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 527454727 + ... + 527531393.

It is an arithmetic number, because the mean of its divisors is an integer number (530671668912).

Almost surely, 2^{40441310431020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40441310431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63680600269440).

40441310431020 is an abundant number, since it is smaller than the sum of its proper divisors (86919890107860).

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

40441310431020 is a wasteful number, since it uses less digits than its factorization.

40441310431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77954 (or 77943 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 40441310431020 its reverse (2013401314404), we get a palindrome (42454711745424).

The spelling of 40441310431020 in words is "forty trillion, four hundred forty-one billion, three hundred ten million, four hundred thirty-one thousand, twenty".