396010418040 has 256 divisors, whose sum is σ = 1347240988800. Its totient is φ = 103433121792.

The previous prime is 396010417993. The next prime is 396010418047. The reversal of 396010418040 is 40814010693.

396010418040 is a `hidden beast` number, since 3 + 9 + 601 + 0 + 4 + 1 + 8 + 0 + 40 = 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 = 396010417986 and 396010418004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396010418047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35311474 + ... + 35322686.

Almost surely, 2^396010418040 is an apocalyptic number.

396010418040 is a gapful number since it is divisible by the number (30) 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 396010418040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673620494400).

396010418040 is an abundant number, since it is smaller than the sum of its proper divisors (951230570760).

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

396010418040 is a wasteful number, since it uses less digits than its factorization.

396010418040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11903 (or 11893 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 396010418040 in words is "three hundred ninety-six billion, ten million, four hundred eighteen thousand, forty".