40844400480 has 288 divisors, whose sum is σ = 150679751040. Its totient is φ = 10015395840.

The previous prime is 40844400473. The next prime is 40844400503. The reversal of 40844400480 is 8400444804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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, 5031625 + ... + 5039735.

It is an arithmetic number, because the mean of its divisors is an integer number (523193580).

Almost surely, 2^40844400480 is an apocalyptic number.

40844400480 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 40844400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75339875520).

40844400480 is an abundant number, since it is smaller than the sum of its proper divisors (109835350560).

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

40844400480 is a wasteful number, since it uses less digits than its factorization.

40844400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8414 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 40844400480 in words is "forty billion, eight hundred forty-four million, four hundred thousand, four hundred eighty".