40790393280 has 1344 divisors, whose sum is σ = 184687147008. Its totient is φ = 8028979200.

The previous prime is 40790393269. The next prime is 40790393291. The reversal of 40790393280 is 8239309704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40790393269) and next prime (40790393291).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 403865230 + ... + 403865330.

It is an arithmetic number, because the mean of its divisors is an integer number (137416032).

Almost surely, 2^40790393280 is an apocalyptic number.

40790393280 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 40790393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92343573504).

40790393280 is an abundant number, since it is smaller than the sum of its proper divisors (143896753728).

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

40790393280 is a wasteful number, since it uses less digits than its factorization.

40790393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 40790393280 in words is "forty billion, seven hundred ninety million, three hundred ninety-three thousand, two hundred eighty".