40285219464 has 288 divisors, whose sum is σ = 134831174400. Its totient is φ = 10797050880.

The previous prime is 40285219441. The next prime is 40285219487. The reversal of 40285219464 is 46491258204.

It is a happy number.

40285219464 is a `hidden beast` number, since 40 + 28 + 521 + 9 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (40285219441) and next prime (40285219487).

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, 21530449 + ... + 21532319.

It is an arithmetic number, because the mean of its divisors is an integer number (468163800).

Almost surely, 2^40285219464 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 40285219464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67415587200).

40285219464 is an abundant number, since it is smaller than the sum of its proper divisors (94545954936).

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

40285219464 is a wasteful number, since it uses less digits than its factorization.

40285219464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40285219464 in words is "forty billion, two hundred eighty-five million, two hundred nineteen thousand, four hundred sixty-four".