40770288 has 120 divisors (see below), whose sum is σ = 127283520. Its totient is φ = 12096000.

The previous prime is 40770271. The next prime is 40770299. The reversal of 40770288 is 88207704.

40770288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53913 + ... + 54663.

It is an arithmetic number, because the mean of its divisors is an integer number (1060696).

Almost surely, 2^40770288 is an apocalyptic number.

40770288 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 40770288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63641760).

40770288 is an abundant number, since it is smaller than the sum of its proper divisors (86513232).

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

40770288 is a wasteful number, since it uses less digits than its factorization.

40770288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 40770288 is about 6385.1615484653. The cubic root of 40770288 is about 344.1765363939.

The spelling of 40770288 in words is "forty million, seven hundred seventy thousand, two hundred eighty-eight".