40648859147520 has 576 divisors, whose sum is σ = 156768269011200. Its totient is φ = 9914064076800.

The previous prime is 40648859147473. The next prime is 40648859147531. The reversal of 40648859147520 is 2574195884604.

It is a happy number.

40648859147520 is a `hidden beast` number, since 4 + 0 + 6 + 48 + 8 + 59 + 14 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×40648859147520² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48556495 + ... + 49386545.

It is an arithmetic number, because the mean of its divisors is an integer number (272167133700).

Almost surely, 2^{40648859147520} is an apocalyptic number.

40648859147520 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 40648859147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78384134505600).

40648859147520 is an abundant number, since it is smaller than the sum of its proper divisors (116119409863680).

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

40648859147520 is a wasteful number, since it uses less digits than its factorization.

40648859147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830203 (or 830183 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 40648859147520 in words is "forty trillion, six hundred forty-eight billion, eight hundred fifty-nine million, one hundred forty-seven thousand, five hundred twenty".