40517606400 has 264 divisors, whose sum is σ = 140965918080. Its totient is φ = 10235658240.

The previous prime is 40517606377. The next prime is 40517606401. The reversal of 40517606400 is 460671504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40517606401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1445317 + ... + 1473083.

Almost surely, 2^40517606400 is an apocalyptic number.

40517606400 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 40517606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70482959040).

40517606400 is an abundant number, since it is smaller than the sum of its proper divisors (100448311680).

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

40517606400 is a wasteful number, since it uses less digits than its factorization.

40517606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27819 (or 27796 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 40517606400 in words is "forty billion, five hundred seventeen million, six hundred six thousand, four hundred".