40812802450560 has 1536 divisors, whose sum is σ = 174918757478400. Its totient is φ = 8559573958656.

The previous prime is 40812802450547. The next prime is 40812802450571. The reversal of 40812802450560 is 6505420821804.

40812802450560 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 2 + 80 + 2 + 4 + 5 + 0 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6434302749 + ... + 6434309091.

It is an arithmetic number, because the mean of its divisors is an integer number (113879399400).

Almost surely, 2^{40812802450560} is an apocalyptic number.

40812802450560 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 40812802450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87459378739200).

40812802450560 is an abundant number, since it is smaller than the sum of its proper divisors (134105955027840).

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

40812802450560 is a wasteful number, since it uses less digits than its factorization.

40812802450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6658 (or 6643 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 40812802450560 in words is "forty trillion, eight hundred twelve billion, eight hundred two million, four hundred fifty thousand, five hundred sixty".