40060220428800 has 1440 divisors, whose sum is σ = 169055487881280. Its totient is φ = 8931144499200.

The previous prime is 40060220428799. The next prime is 40060220428841. The reversal of 40060220428800 is 882402206004.

It is a happy number.

40060220428800 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 0 + 220 + 428 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4563182811 + ... + 4563191589.

It is an arithmetic number, because the mean of its divisors is an integer number (117399644362).

Almost surely, 2^{40060220428800} is an apocalyptic number.

40060220428800 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 40060220428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84527743940640).

40060220428800 is an abundant number, since it is smaller than the sum of its proper divisors (128995267452480).

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

40060220428800 is a wasteful number, since it uses less digits than its factorization.

40060220428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9114 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 40060220428800 in words is "forty trillion, sixty billion, two hundred twenty million, four hundred twenty-eight thousand, eight hundred".