40073088 has 128 divisors (see below), whose sum is σ = 118972800. Its totient is φ = 11847680.

The previous prime is 40073081. The next prime is 40073101. The reversal of 40073088 is 88037004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40073081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223783 + ... + 223961.

It is an arithmetic number, because the mean of its divisors is an integer number (929475).

Almost surely, 2^40073088 is an apocalyptic number.

40073088 is a gapful number since it is divisible by the number (48) 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 40073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59486400).

40073088 is an abundant number, since it is smaller than the sum of its proper divisors (78899712).

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

40073088 is a wasteful number, since it uses less digits than its factorization.

40073088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 40073088 is about 6330.3307970437. The cubic root of 40073088 is about 342.2033604667.

The spelling of 40073088 in words is "forty million, seventy-three thousand, eighty-eight".