40415632320 has 224 divisors, whose sum is σ = 146772172800. Its totient is φ = 9230229504.

The previous prime is 40415632273. The next prime is 40415632321. The reversal of 40415632320 is 2323651404.

40415632320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40415632321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14036641 + ... + 14039519.

Almost surely, 2^40415632320 is an apocalyptic number.

40415632320 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 40415632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73386086400).

40415632320 is an abundant number, since it is smaller than the sum of its proper divisors (106356540480).

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

40415632320 is a wasteful number, since it uses less digits than its factorization.

40415632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 40415632320 in words is "forty billion, four hundred fifteen million, six hundred thirty-two thousand, three hundred twenty".