40438030464 has 384 divisors, whose sum is σ = 131424209280. Its totient is φ = 12302254080.

The previous prime is 40438030427. The next prime is 40438030481. The reversal of 40438030464 is 46403083404.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39221629 + ... + 39222659.

It is an arithmetic number, because the mean of its divisors is an integer number (342250545).

Almost surely, 2^40438030464 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 40438030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65712104640).

40438030464 is an abundant number, since it is smaller than the sum of its proper divisors (90986178816).

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

40438030464 is a wasteful number, since it uses less digits than its factorization.

40438030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 40438030464 in words is "forty billion, four hundred thirty-eight million, thirty thousand, four hundred sixty-four".