1000420588800 has 432 divisors, whose sum is σ = 3861528888000. Its totient is φ = 252737003520.

The previous prime is 1000420588729. The next prime is 1000420588801. The reversal of 1000420588800 is 88850240001.

1000420588800 is a `hidden beast` number, since 100 + 0 + 420 + 58 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000420588801) 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, 3130846 + ... + 3435554.

Almost surely, 2^{1000420588800} is an apocalyptic number.

1000420588800 is a gapful number since it is divisible by the number (10) 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 1000420588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930764444000).

1000420588800 is an abundant number, since it is smaller than the sum of its proper divisors (2861108299200).

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

1000420588800 is a wasteful number, since it uses less digits than its factorization.

1000420588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304763 (or 304738 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 1000420588800 in words is "one trillion, four hundred twenty million, five hundred eighty-eight thousand, eight hundred".