40428821094480 has 2880 divisors, whose sum is σ = 184411981877760. Its totient is φ = 8148475625472.

The previous prime is 40428821094457. The next prime is 40428821094481. The reversal of 40428821094480 is 8449012882404.

40428821094480 is a `hidden beast` number, since 4 + 0 + 428 + 82 + 10 + 94 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40428821094481) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 36988856814 + ... + 36988857906.

It is an arithmetic number, because the mean of its divisors is an integer number (64031938152).

Almost surely, 2^{40428821094480} is an apocalyptic number.

40428821094480 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 40428821094480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92205990938880).

40428821094480 is an abundant number, since it is smaller than the sum of its proper divisors (143983160783280).

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

40428821094480 is a wasteful number, since it uses less digits than its factorization.

40428821094480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 40428821094480 in words is "forty trillion, four hundred twenty-eight billion, eight hundred twenty-one million, ninety-four thousand, four hundred eighty".