40452677959680 has 1440 divisors, whose sum is σ = 169403029515720. Its totient is φ = 9246326390784.

The previous prime is 40452677959637. The next prime is 40452677959709. The reversal of 40452677959680 is 8695977625404.

40452677959680 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 26 + 7 + 7 + 9 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40452677959599 and 40452677959608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5778953994237 + ... + 5778953994243.

Almost surely, 2^{40452677959680} is an apocalyptic number.

40452677959680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40452677959680 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40452677959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84701514757860).

40452677959680 is an abundant number, since it is smaller than the sum of its proper divisors (128950351556040).

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

40452677959680 is an frugal number, since it uses more digits than its factorization.

40452677959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 40452677959680 in words is "forty trillion, four hundred fifty-two billion, six hundred seventy-seven million, nine hundred fifty-nine thousand, six hundred eighty".