40777285120 has 640 divisors, whose sum is σ = 124732016640. Its totient is φ = 12565217280.

The previous prime is 40777285111. The next prime is 40777285121. The reversal of 40777285120 is 2158277704.

40777285120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40777285121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244175277 + ... + 244175443.

It is an arithmetic number, because the mean of its divisors is an integer number (194893776).

Almost surely, 2^40777285120 is an apocalyptic number.

40777285120 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 40777285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62366008320).

40777285120 is an abundant number, since it is smaller than the sum of its proper divisors (83954731520).

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

40777285120 is a wasteful number, since it uses less digits than its factorization.

40777285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 43.

The spelling of 40777285120 in words is "forty billion, seven hundred seventy-seven million, two hundred eighty-five thousand, one hundred twenty".