40914720 has 480 divisors, whose sum is σ = 184415616. Its totient is φ = 8294400.

The previous prime is 40914719. The next prime is 40914721. The reversal of 40914720 is 2741904.

40914720 = T₃₈₄ + T₃₈₅ + ... + T₆₇₀.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40914719) and next prime (40914721).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (40914721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997900 + ... + 997940.

Almost surely, 2^40914720 is an apocalyptic number.

40914720 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 40914720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808).

40914720 is an abundant number, since it is smaller than the sum of its proper divisors (143500896).

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

40914720 is a wasteful number, since it uses less digits than its factorization.

40914720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 40914720 is about 6396.4615218103. The cubic root of 40914720 is about 344.5824816915.

It can be divided in two parts, 409 and 14720, that added together give a square (15129 = 123²).

The spelling of 40914720 in words is "forty million, nine hundred fourteen thousand, seven hundred twenty".