40141969440 has 288 divisors, whose sum is σ = 138370498560. Its totient is φ = 9747947520.

The previous prime is 40141969411. The next prime is 40141969499. The reversal of 40141969440 is 4496914104.

It is a super-2 number, since 2×40141969440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40141969392 and 40141969401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7839201 + ... + 7844319.

It is an arithmetic number, because the mean of its divisors is an integer number (480453120).

Almost surely, 2^40141969440 is an apocalyptic number.

40141969440 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 40141969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69185249280).

40141969440 is an abundant number, since it is smaller than the sum of its proper divisors (98228529120).

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

40141969440 is a wasteful number, since it uses less digits than its factorization.

40141969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 40141969440 in words is "forty billion, one hundred forty-one million, nine hundred sixty-nine thousand, four hundred forty".