40216398464 has 128 divisors (see below), whose sum is σ = 88887663360. Its totient is φ = 17971200000.

The previous prime is 40216398457. The next prime is 40216398479. The reversal of 40216398464 is 46489361204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53550089 + ... + 53550839.

It is an arithmetic number, because the mean of its divisors is an integer number (694434870).

Almost surely, 2^40216398464 is an apocalyptic number.

40216398464 is a gapful number since it is divisible by the number (44) 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 40216398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44443831680).

40216398464 is an abundant number, since it is smaller than the sum of its proper divisors (48671264896).

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

40216398464 is a wasteful number, since it uses less digits than its factorization.

40216398464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 47.

The spelling of 40216398464 in words is "forty billion, two hundred sixteen million, three hundred ninety-eight thousand, four hundred sixty-four".