40430720 has 64 divisors (see below), whose sum is σ = 105459840. Its totient is φ = 14699520.

The previous prime is 40430717. The next prime is 40430723. The reversal of 40430720 is 2703404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40430717) and next prime (40430723).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40430692 and 40430701.

It is not an unprimeable number, because it can be changed into a prime (40430723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4169 + ... + 9911.

It is an arithmetic number, because the mean of its divisors is an integer number (1647810).

Almost surely, 2^40430720 is an apocalyptic number.

40430720 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 40430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52729920).

40430720 is an abundant number, since it is smaller than the sum of its proper divisors (65029120).

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

40430720 is a wasteful number, since it uses less digits than its factorization.

40430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 40430720 is about 6358.5155500321. The cubic root of 40430720 is about 343.2183442071.

The spelling of 40430720 in words is "forty million, four hundred thirty thousand, seven hundred twenty".