40889628000 has 576 divisors, whose sum is σ = 160166994624. Its totient is φ = 9815040000.

The previous prime is 40889627981. The next prime is 40889628023. The reversal of 40889628000 is 82698804.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 19186935 + ... + 19189065.

It is an arithmetic number, because the mean of its divisors is an integer number (278067699).

Almost surely, 2^40889628000 is an apocalyptic number.

40889628000 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 40889628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80083497312).

40889628000 is an abundant number, since it is smaller than the sum of its proper divisors (119277366624).

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

40889628000 is a wasteful number, since it uses less digits than its factorization.

40889628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 40889628000 in words is "forty billion, eight hundred eighty-nine million, six hundred twenty-eight thousand".