40753680 has 160 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 9623040.

The previous prime is 40753667. The next prime is 40753697. The reversal of 40753680 is 8635704.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113341 + ... + 113699.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 2^40753680 is an apocalyptic number.

40753680 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 40753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

40753680 is an abundant number, since it is smaller than the sum of its proper divisors (100665840).

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

40753680 is a wasteful number, since it uses less digits than its factorization.

40753680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 40753680 is about 6383.8609007402. The cubic root of 40753680 is about 344.1297959813.

The spelling of 40753680 in words is "forty million, seven hundred fifty-three thousand, six hundred eighty".