40802923008000 has 624 divisors, whose sum is σ = 147574418287296. Its totient is φ = 10844961177600.

The previous prime is 40802923007971. The next prime is 40802923008073. The reversal of 40802923008000 is 80032920804.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1414641579 + ... + 1414670421.

It is an arithmetic number, because the mean of its divisors is an integer number (236497465204).

Almost surely, 2^{40802923008000} is an apocalyptic number.

40802923008000 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 40802923008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73787209143648).

40802923008000 is an abundant number, since it is smaller than the sum of its proper divisors (106771495279296).

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

40802923008000 is a wasteful number, since it uses less digits than its factorization.

40802923008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29195 (or 29160 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 40802923008000 its reverse (80032920804), we get a palindrome (40882955928804).

The spelling of 40802923008000 in words is "forty trillion, eight hundred two billion, nine hundred twenty-three million, eight thousand".