921034427040 has 1728 divisors, whose sum is σ = 4244493052800. Its totient is φ = 179672629248.

The previous prime is 921034427029. The next prime is 921034427057. The reversal of 921034427040 is 40724430129.

921034427040 is a `hidden beast` number, since 9 + 2 + 1 + 0 + 344 + 270 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 921034426986 and 921034427004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 749417146 + ... + 749418374.

It is an arithmetic number, because the mean of its divisors is an integer number (2456303850).

Almost surely, 2^921034427040 is an apocalyptic number.

921034427040 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 921034427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122246526400).

921034427040 is an abundant number, since it is smaller than the sum of its proper divisors (3323458625760).

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

921034427040 is a wasteful number, since it uses less digits than its factorization.

921034427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 921034427040 its reverse (40724430129), we get a palindrome (961758857169).

The spelling of 921034427040 in words is "nine hundred twenty-one billion, thirty-four million, four hundred twenty-seven thousand, forty".