40654411038720 has 1024 divisors, whose sum is σ = 152724525580800. Its totient is φ = 10367718653952.

The previous prime is 40654411038691. The next prime is 40654411038721. The reversal of 40654411038720 is 2783011445604.

40654411038720 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 441 + 103 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×40654411038720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40654411038721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8241313374 + ... + 8241318306.

Almost surely, 2^{40654411038720} is an apocalyptic number.

40654411038720 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 40654411038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76362262790400).

40654411038720 is an abundant number, since it is smaller than the sum of its proper divisors (112070114542080).

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

40654411038720 is an frugal number, since it uses more digits than its factorization.

40654411038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40654411038720 in words is "forty trillion, six hundred fifty-four billion, four hundred eleven million, thirty-eight thousand, seven hundred twenty".