427578900000 has 1728 divisors, whose sum is σ = 1817827401600. Its totient is φ = 87306240000.

The previous prime is 427578899999. The next prime is 427578900041. The reversal of 427578900000 is 9875724.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7247099971 + ... + 7247100029.

It is an arithmetic number, because the mean of its divisors is an integer number (1051983450).

Almost surely, 2^427578900000 is an apocalyptic number.

427578900000 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 427578900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908913700800).

427578900000 is an abundant number, since it is smaller than the sum of its proper divisors (1390248501600).

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

427578900000 is a wasteful number, since it uses less digits than its factorization.

427578900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 427578900000 in words is "four hundred twenty-seven billion, five hundred seventy-eight million, nine hundred thousand".