40314940323840 has 1440 divisors, whose sum is σ = 181025903298240. Its totient is φ = 8505897910272.

The previous prime is 40314940323793. The next prime is 40314940323887. The reversal of 40314940323840 is 4832304941304.

40314940323840 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 4 + 9 + 403 + 238 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40314940323793) and next prime (40314940323887).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 528315129 + ... + 528391431.

It is an arithmetic number, because the mean of its divisors is an integer number (125712432846).

Almost surely, 2^{40314940323840} is an apocalyptic number.

40314940323840 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 40314940323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90512951649120).

40314940323840 is an abundant number, since it is smaller than the sum of its proper divisors (140710962974400).

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

40314940323840 is a wasteful number, since it uses less digits than its factorization.

40314940323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76369 (or 76333 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 40314940323840 in words is "forty trillion, three hundred fourteen billion, nine hundred forty million, three hundred twenty-three thousand, eight hundred forty".