40679489520 has 400 divisors, whose sum is σ = 146796735360. Its totient is φ = 10432654848.

The previous prime is 40679489509. The next prime is 40679489561. The reversal of 40679489520 is 2598497604.

40679489520 is a `hidden beast` number, since 4 + 0 + 6 + 79 + 48 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18667791 + ... + 18669969.

Almost surely, 2^40679489520 is an apocalyptic number.

40679489520 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 40679489520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73398367680).

40679489520 is an abundant number, since it is smaller than the sum of its proper divisors (106117245840).

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

40679489520 is a wasteful number, since it uses less digits than its factorization.

40679489520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 40679489520 in words is "forty billion, six hundred seventy-nine million, four hundred eighty-nine thousand, five hundred twenty".