40018092420240 has 640 divisors, whose sum is σ = 154110861273600. Its totient is φ = 9460297728000.

The previous prime is 40018092420161. The next prime is 40018092420247. The reversal of 40018092420240 is 4202429081004.

40018092420240 is a `hidden beast` number, since 400 + 1 + 8 + 0 + 9 + 2 + 4 + 2 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40018092420195 and 40018092420204.

It is not an unprimeable number, because it can be changed into a prime (40018092420247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2377916146 + ... + 2377932974.

It is an arithmetic number, because the mean of its divisors is an integer number (240798220740).

Almost surely, 2^{40018092420240} is an apocalyptic number.

40018092420240 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 40018092420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77055430636800).

40018092420240 is an abundant number, since it is smaller than the sum of its proper divisors (114092768853360).

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

40018092420240 is a wasteful number, since it uses less digits than its factorization.

40018092420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19344 (or 19332 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 40018092420240 in words is "forty trillion, eighteen billion, ninety-two million, four hundred twenty thousand, two hundred forty".