40406644320 has 192 divisors, whose sum is σ = 147217512960. Its totient is φ = 9124466688.

The previous prime is 40406644307. The next prime is 40406644387. The reversal of 40406644320 is 2344660404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206436 + ... + 351324.

It is an arithmetic number, because the mean of its divisors is an integer number (766757880).

Almost surely, 2^40406644320 is an apocalyptic number.

40406644320 is a gapful number since it is divisible by the number (40) 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 40406644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73608756480).

40406644320 is an abundant number, since it is smaller than the sum of its proper divisors (106810868640).

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

40406644320 is a wasteful number, since it uses less digits than its factorization.

40406644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144997 (or 144989 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 40406644320 in words is "forty billion, four hundred six million, six hundred forty-four thousand, three hundred twenty".