40405484340 has 240 divisors, whose sum is σ = 137587709952. Its totient is φ = 9866997504.

The previous prime is 40405484311. The next prime is 40405484369. The reversal of 40405484340 is 4348450404.

40405484340 is a `hidden beast` number, since 40 + 40 + 548 + 4 + 34 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40405484311) and next prime (40405484369).

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 = 40405484295 and 40405484304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2667067 + ... + 2682173.

Almost surely, 2^40405484340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40405484340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68793854976).

40405484340 is an abundant number, since it is smaller than the sum of its proper divisors (97182225612).

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

40405484340 is a wasteful number, since it uses less digits than its factorization.

40405484340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15268 (or 15257 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 40405484340 in words is "forty billion, four hundred five million, four hundred eighty-four thousand, three hundred forty".