40777248 has 96 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 12902400.

The previous prime is 40777241. The next prime is 40777259. The reversal of 40777248 is 84277704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40777241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269973 + ... + 270123.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 2^40777248 is an apocalyptic number.

40777248 is a gapful number since it is divisible by the number (48) 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 40777248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56306880).

40777248 is an abundant number, since it is smaller than the sum of its proper divisors (71836512).

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

40777248 is a wasteful number, since it uses less digits than its factorization.

40777248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 40777248 is about 6385.7065388256. The cubic root of 40777248 is about 344.1961203647.

It can be divided in two parts, 4077 and 7248, that multiplied together give a square (29550096 = 5436²).

The spelling of 40777248 in words is "forty million, seven hundred seventy-seven thousand, two hundred forty-eight".