40208298449760 has 1536 divisors, whose sum is σ = 170704604528640. Its totient is φ = 8641188864000.

The previous prime is 40208298449689. The next prime is 40208298449771. The reversal of 40208298449760 is 6794489280204.

40208298449760 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 8 + 2 + 9 + 84 + 497 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12180640110 + ... + 12180643410.

It is an arithmetic number, because the mean of its divisors is an integer number (111135810240).

Almost surely, 2^{40208298449760} is an apocalyptic number.

40208298449760 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 40208298449760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85352302264320).

40208298449760 is an abundant number, since it is smaller than the sum of its proper divisors (130496306078880).

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

40208298449760 is a wasteful number, since it uses less digits than its factorization.

40208298449760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 40208298449760 in words is "forty trillion, two hundred eight billion, two hundred ninety-eight million, four hundred forty-nine thousand, seven hundred sixty".