40590720 has 256 divisors, whose sum is σ = 150552000. Its totient is φ = 10450944.

The previous prime is 40590709. The next prime is 40590721. The reversal of 40590720 is 2709504.

40590720 is a `hidden beast` number, since 4 + 0 + 590 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40590721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399666 + ... + 1399694.

Almost surely, 2^40590720 is an apocalyptic number.

40590720 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 40590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75276000).

40590720 is an abundant number, since it is smaller than the sum of its proper divisors (109961280).

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

40590720 is an frugal number, since it uses more digits than its factorization.

40590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 40590720 is about 6371.0846800211. The cubic root of 40590720 is about 343.6704975370.

It can be divided in two parts, 405 and 90720, that added together give a cube (91125 = 45³).

The spelling of 40590720 in words is "forty million, five hundred ninety thousand, seven hundred twenty".