40394376120384 has 504 divisors, whose sum is σ = 138981354028608. Its totient is φ = 11058669434880.

The previous prime is 40394376120331. The next prime is 40394376120407. The reversal of 40394376120384 is 48302167349304.

It is a happy number.

40394376120384 is a `hidden beast` number, since 4 + 0 + 3 + 9 + 437 + 6 + 120 + 3 + 84 = 666.

40394376120384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40394376120384.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181839909 + ... + 182061915.

Almost surely, 2^{40394376120384} is an apocalyptic number.

40394376120384 is a gapful number since it is divisible by the number (44) 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 40394376120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69490677014304).

40394376120384 is an abundant number, since it is smaller than the sum of its proper divisors (98586977908224).

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

40394376120384 is a wasteful number, since it uses less digits than its factorization.

40394376120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222143 (or 222083 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 40394376120384 in words is "forty trillion, three hundred ninety-four billion, three hundred seventy-six million, one hundred twenty thousand, three hundred eighty-four".