40005803471520 has 384 divisors, whose sum is σ = 128032261459200. Its totient is φ = 10499291873280.

The previous prime is 40005803471479. The next prime is 40005803471537. The reversal of 40005803471520 is 2517430850004.

It is a super-2 number, since 2×40005803471520² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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, 5230196656 + ... + 5230204304.

It is an arithmetic number, because the mean of its divisors is an integer number (333417347550).

Almost surely, 2^{40005803471520} is an apocalyptic number.

40005803471520 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 40005803471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64016130729600).

40005803471520 is an abundant number, since it is smaller than the sum of its proper divisors (88026457987680).

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

40005803471520 is a wasteful number, since it uses less digits than its factorization.

40005803471520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448 (or 8440 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 40005803471520 in words is "forty trillion, five billion, eight hundred three million, four hundred seventy-one thousand, five hundred twenty".