901243828800 has 756 divisors, whose sum is σ = 3817215940356. Its totient is φ = 200967782400.

The previous prime is 901243828783. The next prime is 901243828801. The reversal of 901243828800 is 8828342109.

It can be written as a sum of positive squares in 6 ways, for example, as 248793459264 + 652450369536 = 498792^2 + 807744^2 .

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

It is not an unprimeable number, because it can be changed into a prime (901243828801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28914024 + ... + 28945176.

Almost surely, 2^901243828800 is an apocalyptic number.

901243828800 is a gapful number since it is divisible by the number (90) 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 901243828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908607970178).

901243828800 is an abundant number, since it is smaller than the sum of its proper divisors (2915972111556).

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

901243828800 is a wasteful number, since it uses less digits than its factorization.

901243828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31236 (or 31211 counting only the distinct ones).

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

The spelling of 901243828800 in words is "nine hundred one billion, two hundred forty-three million, eight hundred twenty-eight thousand, eight hundred".