40654451520 has 504 divisors, whose sum is σ = 148769615592. Its totient is φ = 10182205440.

The previous prime is 40654451503. The next prime is 40654451561. The reversal of 40654451520 is 2515445604.

40654451520 is a `hidden beast` number, since 4 + 0 + 65 + 445 + 152 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14348206656 + 26306244864 = 119784^2 + 162192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102403962 + ... + 102404358.

Almost surely, 2^40654451520 is an apocalyptic number.

40654451520 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 40654451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74384807796).

40654451520 is an abundant number, since it is smaller than the sum of its proper divisors (108115164072).

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

40654451520 is a wasteful number, since it uses less digits than its factorization.

40654451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 40654451520 in words is "forty billion, six hundred fifty-four million, four hundred fifty-one thousand, five hundred twenty".