40890628800 has 504 divisors, whose sum is σ = 168402686816. Its totient is φ = 9216737280.

The previous prime is 40890628789. The next prime is 40890628817. The reversal of 40890628800 is 882609804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×40890628800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7355622 + ... + 7361178.

Almost surely, 2^40890628800 is an apocalyptic number.

40890628800 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 40890628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84201343408).

40890628800 is an abundant number, since it is smaller than the sum of its proper divisors (127512058016).

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

40890628800 is a wasteful number, since it uses less digits than its factorization.

40890628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5665 (or 5647 counting only the distinct ones).

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

The spelling of 40890628800 in words is "forty billion, eight hundred ninety million, six hundred twenty-eight thousand, eight hundred".