40792227840 has 960 divisors, whose sum is σ = 183207024000. Its totient is φ = 8153726976.

The previous prime is 40792227803. The next prime is 40792227893. The reversal of 40792227840 is 4872229704.

It is a tau number, because it is divible by the number of its divisors (960).

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 47 ways as a sum of consecutive naturals, for example, 2146959351 + ... + 2146959369.

It is an arithmetic number, because the mean of its divisors is an integer number (190840650).

Almost surely, 2^40792227840 is an apocalyptic number.

40792227840 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 40792227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91603512000).

40792227840 is an abundant number, since it is smaller than the sum of its proper divisors (142414796160).

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

40792227840 is an equidigital number, since it uses as much as digits as its factorization.

40792227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 40792227840 in words is "forty billion, seven hundred ninety-two million, two hundred twenty-seven thousand, eight hundred forty".