40453327199360 has 256 divisors, whose sum is σ = 97673490684000. Its totient is φ = 16020990590976.

The previous prime is 40453327199353. The next prime is 40453327199377. The reversal of 40453327199360 is 6399172335404.

It can be written as a sum of positive squares in 16 ways, for example, as 1812383677504 + 38640943521856 = 1346248^2 + 6216184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40453327199296 and 40453327199305.

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, 23670758186 + ... + 23670759894.

Almost surely, 2^{40453327199360} is an apocalyptic number.

40453327199360 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 40453327199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48836745342000).

40453327199360 is an abundant number, since it is smaller than the sum of its proper divisors (57220163484640).

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

40453327199360 is a wasteful number, since it uses less digits than its factorization.

40453327199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 56.

The spelling of 40453327199360 in words is "forty trillion, four hundred fifty-three billion, three hundred twenty-seven million, one hundred ninety-nine thousand, three hundred sixty".