40792871280 has 320 divisors, whose sum is σ = 148490496000. Its totient is φ = 9069527040.

The previous prime is 40792871233. The next prime is 40792871299. The reversal of 40792871280 is 8217829704.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30926461 + ... + 30927779.

It is an arithmetic number, because the mean of its divisors is an integer number (464032800).

Almost surely, 2^40792871280 is an apocalyptic number.

40792871280 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 40792871280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248000).

40792871280 is an abundant number, since it is smaller than the sum of its proper divisors (107697624720).

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

40792871280 is a wasteful number, since it uses less digits than its factorization.

40792871280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 40792871280 in words is "forty billion, seven hundred ninety-two million, eight hundred seventy-one thousand, two hundred eighty".