40777949874816 has 1152 divisors, whose sum is σ = 152304726188160. Its totient is φ = 10564650270720.

The previous prime is 40777949874703. The next prime is 40777949874833. The reversal of 40777949874816 is 61847894977704.

40777949874816 is a `hidden beast` number, since 4 + 0 + 7 + 7 + 79 + 498 + 7 + 48 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43519689900 + ... + 43519690836.

It is an arithmetic number, because the mean of its divisors is an integer number (132208963705).

Almost surely, 2^{40777949874816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40777949874816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76152363094080).

40777949874816 is an abundant number, since it is smaller than the sum of its proper divisors (111526776313344).

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

40777949874816 is an frugal number, since it uses more digits than its factorization.

40777949874816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 4779565056, while the sum is 81.

The spelling of 40777949874816 in words is "forty trillion, seven hundred seventy-seven billion, nine hundred forty-nine million, eight hundred seventy-four thousand, eight hundred sixteen".