40311344640 has 320 divisors, whose sum is σ = 147866678784. Its totient is φ = 9177366528.

The previous prime is 40311344621. The next prime is 40311344659. The reversal of 40311344640 is 4644311304.

It is an interprime number because it is at equal distance from previous prime (40311344621) and next prime (40311344659).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 40311344598 and 40311344607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14890167 + ... + 14892873.

Almost surely, 2^40311344640 is an apocalyptic number.

40311344640 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 40311344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73933339392).

40311344640 is an abundant number, since it is smaller than the sum of its proper divisors (107555334144).

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

40311344640 is a wasteful number, since it uses less digits than its factorization.

40311344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 40311344640 its reverse (4644311304), we get a palindrome (44955655944).

The spelling of 40311344640 in words is "forty billion, three hundred eleven million, three hundred forty-four thousand, six hundred forty".