40477320 has 240 divisors, whose sum is σ = 151392780. Its totient is φ = 9642240.

The previous prime is 40477271. The next prime is 40477331. The reversal of 40477320 is 2377404.

40477320 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 37675044 + 2802276 = 6138^2 + 1674^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1305705 + ... + 1305735.

Almost surely, 2^40477320 is an apocalyptic number.

40477320 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 40477320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75696390).

40477320 is an abundant number, since it is smaller than the sum of its proper divisors (110915460).

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

40477320 is a wasteful number, since it uses less digits than its factorization.

40477320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 40477320 is about 6362.1788720532. The cubic root of 40477320 is about 343.3501567986.

The spelling of 40477320 in words is "forty million, four hundred seventy-seven thousand, three hundred twenty".