40890748800 has 384 divisors, whose sum is σ = 148133376000. Its totient is φ = 9831628800.

The previous prime is 40890748793. The next prime is 40890748807. The reversal of 40890748800 is 884709804.

It is an interprime number because it is at equal distance from previous prime (40890748793) and next prime (40890748807).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40890748800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40890748807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13409676 + ... + 13412724.

It is an arithmetic number, because the mean of its divisors is an integer number (385764000).

Almost surely, 2^40890748800 is an apocalyptic number.

40890748800 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 40890748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74066688000).

40890748800 is an abundant number, since it is smaller than the sum of its proper divisors (107242627200).

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

40890748800 is a wasteful number, since it uses less digits than its factorization.

40890748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 40890748800 in words is "forty billion, eight hundred ninety million, seven hundred forty-eight thousand, eight hundred".