40009697280 has 576 divisors, whose sum is σ = 164416936320. Its totient is φ = 9141092352.

The previous prime is 40009697269. The next prime is 40009697291. The reversal of 40009697280 is 8279690004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40009697269) and next prime (40009697291).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17417092 + ... + 17419388.

It is an arithmetic number, because the mean of its divisors is an integer number (285446070).

Almost surely, 2^40009697280 is an apocalyptic number.

40009697280 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 40009697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82208468160).

40009697280 is an abundant number, since it is smaller than the sum of its proper divisors (124407239040).

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

40009697280 is an equidigital number, since it uses as much as digits as its factorization.

40009697280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 40009697280 in words is "forty billion, nine million, six hundred ninety-seven thousand, two hundred eighty".