40477440 has 144 divisors (see below), whose sum is σ = 131862528. Its totient is φ = 10579968.

The previous prime is 40477439. The next prime is 40477441. The reversal of 40477440 is 4477404.

It is an interprime number because it is at equal distance from previous prime (40477439) and next prime (40477441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40477398 and 40477407.

It is not an unprimeable number, because it can be changed into a prime (40477441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318657 + ... + 318783.

It is an arithmetic number, because the mean of its divisors is an integer number (915712).

Almost surely, 2^40477440 is an apocalyptic number.

40477440 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 40477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65931264).

40477440 is an abundant number, since it is smaller than the sum of its proper divisors (91385088).

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

40477440 is a wasteful number, since it uses less digits than its factorization.

40477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 40477440 is about 6362.1883027776. The cubic root of 40477440 is about 343.3504960996.

The spelling of 40477440 in words is "forty million, four hundred seventy-seven thousand, four hundred forty".