40276320 has 96 divisors (see below), whose sum is σ = 145006848. Its totient is φ = 9205248.

The previous prime is 40276319. The next prime is 40276351. The reversal of 40276320 is 2367204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×40276320³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2634 + ... + 9353.

It is an arithmetic number, because the mean of its divisors is an integer number (1510488).

Almost surely, 2^40276320 is an apocalyptic number.

40276320 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 40276320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72503424).

40276320 is an abundant number, since it is smaller than the sum of its proper divisors (104730528).

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

40276320 is a wasteful number, since it uses less digits than its factorization.

40276320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12012 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 40276320 is about 6346.3627378208. The cubic root of 40276320 is about 342.7808838332.

The spelling of 40276320 in words is "forty million, two hundred seventy-six thousand, three hundred twenty".