40011405242040 has 192 divisors, whose sum is σ = 130626828783360. Its totient is φ = 10621370695680.

The previous prime is 40011405241993. The next prime is 40011405242041. The reversal of 40011405242040 is 4024250411004.

40011405242040 is a `hidden beast` number, since 4 + 0 + 0 + 11 + 405 + 242 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40011405241995 and 40011405242013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40011405242041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144840850 + ... + 145116830.

It is an arithmetic number, because the mean of its divisors is an integer number (680348066580).

Almost surely, 2^{40011405242040} is an apocalyptic number.

40011405242040 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 40011405242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65313414391680).

40011405242040 is an abundant number, since it is smaller than the sum of its proper divisors (90615423541320).

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

40011405242040 is a wasteful number, since it uses less digits than its factorization.

40011405242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277822 (or 277815 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 40011405242040 its reverse (4024250411004), we get a palindrome (44035655653044).

The spelling of 40011405242040 in words is "forty trillion, eleven billion, four hundred five million, two hundred forty-two thousand, forty".