40438655460 has 288 divisors, whose sum is σ = 147850859520. Its totient is φ = 9086007168.

The previous prime is 40438655437. The next prime is 40438655473. The reversal of 40438655460 is 6455683404.

40438655460 is a `hidden beast` number, since 4 + 0 + 4 + 38 + 6 + 554 + 60 = 666.

40438655460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1997107 + ... + 2017253.

It is an arithmetic number, because the mean of its divisors is an integer number (513371040).

Almost surely, 2^40438655460 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 40438655460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73925429760).

40438655460 is an abundant number, since it is smaller than the sum of its proper divisors (107412204060).

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

40438655460 is a wasteful number, since it uses less digits than its factorization.

40438655460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20237 (or 20223 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 40438655460 in words is "forty billion, four hundred thirty-eight million, six hundred fifty-five thousand, four hundred sixty".