40022829000 has 1792 divisors, whose sum is σ = 188568207360. Its totient is φ = 7698240000.

The previous prime is 40022828999. The next prime is 40022829013. The reversal of 40022829000 is 92822004.

40022829000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1291058985 + ... + 1291059015.

Almost surely, 2^40022829000 is an apocalyptic number.

40022829000 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 40022829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94284103680).

40022829000 is an abundant number, since it is smaller than the sum of its proper divisors (148545378360).

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

40022829000 is a wasteful number, since it uses less digits than its factorization.

40022829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 40022829000 in words is "forty billion, twenty-two million, eight hundred twenty-nine thousand".